How to find slope of a line - PSAT Math
Card 1 of 63
Based on the table below, when x = 5, y will equal
x y -1 3 0 1 1 -1 2 -3
Based on the table below, when x = 5, y will equal
| x | y |
|---|---|
| -1 | 3 |
| 0 | 1 |
| 1 | -1 |
| 2 | -3 |
Tap to reveal answer
Use 2 points from the chart to find the equation of the line.
Example: (–1, 3) and (1, –1)
Using the formula for the slope, we find the slope to be –2. Putting that into our equation for a line we get y = –2x + b. Plug in one of the points for x and y into this equation in order to find b. b = 1.
The equation then will be: y = –2x + 1.
Plug in 5 for x in order to find y.
y = –2(5) + 1
y = –9
Use 2 points from the chart to find the equation of the line.
Example: (–1, 3) and (1, –1)
Using the formula for the slope, we find the slope to be –2. Putting that into our equation for a line we get y = –2x + b. Plug in one of the points for x and y into this equation in order to find b. b = 1.
The equation then will be: y = –2x + 1.
Plug in 5 for x in order to find y.
y = –2(5) + 1
y = –9
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What is the slope of a line that runs through points: (-2, 5) and (1, 7)?
What is the slope of a line that runs through points: (-2, 5) and (1, 7)?
Tap to reveal answer
The slope of a line is defined as a change in the y coordinates over a change in the x coordinates (rise over run).
To calculate the slope of a line, use the following formula: 
The slope of a line is defined as a change in the y coordinates over a change in the x coordinates (rise over run).
To calculate the slope of a line, use the following formula:
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A line passes through the points (–3, 5) and (2, 3). What is the slope of this line?
A line passes through the points (–3, 5) and (2, 3). What is the slope of this line?
Tap to reveal answer
The slope of the line that passes these two points are simply ∆y/∆x = (3-5)/(2+3) = -2/5
The slope of the line that passes these two points are simply ∆y/∆x = (3-5)/(2+3) = -2/5
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Which of the following lines intersects the y-axis at a thirty degree angle?
Which of the following lines intersects the y-axis at a thirty degree angle?
Tap to reveal answer
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What is a possible slope of line y?
What is a possible slope of line y?
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The slope is negative as it starts in quadrant 2 and ends in quadrant 4. Slope is equivlent to the change in y divided by the change in x. The change in y is greater than the change in x, which implies that the slope must be less than –1, leaving –2 as the only possible solution.
The slope is negative as it starts in quadrant 2 and ends in quadrant 4. Slope is equivlent to the change in y divided by the change in x. The change in y is greater than the change in x, which implies that the slope must be less than –1, leaving –2 as the only possible solution.
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What is the slope between 
and 
?
What is the slope between
Tap to reveal answer
Let $P_{1}$=(8,3) and $P_{2}$=(5,7)
m = $(y_{2}$ - $y_{1}$) div $(x_{2}$ - $x_{1}$) so the slope becomes 
.
Let $P_{1}$=(8,3) and $P_{2}$=(5,7)
m = $(y_{2}$ - $y_{1}$) div $(x_{2}$ - $x_{1}$) so the slope becomes
← Didn't Know|Knew It →
Tap to reveal answer
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Refer to above red line. What is its slope?
Refer to above red line. What is its slope?
Tap to reveal answer
The slope of a line. given two points 
can be calculated using the slope formula
Set 
:
The slope of a line. given two points
Set
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Which of the following equations has as its graph a line with slope 4?
Which of the following equations has as its graph a line with slope 4?
Tap to reveal answer
For each equation, solve for 
and express in the slope-intercept form 
. The coefficient of 
will be the slope.
Slope: 
Slope: 
Slope: 
Slope: 
.
The line of the equation
is the one with slope 4.
For each equation, solve for
Slope:
Slope:
Slope:
Slope:
The line of the equation
is the one with slope 4.
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Based on the table below, when x = 5, y will equal
x y -1 3 0 1 1 -1 2 -3
Based on the table below, when x = 5, y will equal
| x | y |
|---|---|
| -1 | 3 |
| 0 | 1 |
| 1 | -1 |
| 2 | -3 |
Tap to reveal answer
Use 2 points from the chart to find the equation of the line.
Example: (–1, 3) and (1, –1)
Using the formula for the slope, we find the slope to be –2. Putting that into our equation for a line we get y = –2x + b. Plug in one of the points for x and y into this equation in order to find b. b = 1.
The equation then will be: y = –2x + 1.
Plug in 5 for x in order to find y.
y = –2(5) + 1
y = –9
Use 2 points from the chart to find the equation of the line.
Example: (–1, 3) and (1, –1)
Using the formula for the slope, we find the slope to be –2. Putting that into our equation for a line we get y = –2x + b. Plug in one of the points for x and y into this equation in order to find b. b = 1.
The equation then will be: y = –2x + 1.
Plug in 5 for x in order to find y.
y = –2(5) + 1
y = –9
← Didn't Know|Knew It →
What is the slope of a line that runs through points: (-2, 5) and (1, 7)?
What is the slope of a line that runs through points: (-2, 5) and (1, 7)?
Tap to reveal answer
The slope of a line is defined as a change in the y coordinates over a change in the x coordinates (rise over run).
To calculate the slope of a line, use the following formula:
The slope of a line is defined as a change in the y coordinates over a change in the x coordinates (rise over run).
To calculate the slope of a line, use the following formula:
← Didn't Know|Knew It →
A line passes through the points (–3, 5) and (2, 3). What is the slope of this line?
A line passes through the points (–3, 5) and (2, 3). What is the slope of this line?
Tap to reveal answer
The slope of the line that passes these two points are simply ∆y/∆x = (3-5)/(2+3) = -2/5
The slope of the line that passes these two points are simply ∆y/∆x = (3-5)/(2+3) = -2/5
← Didn't Know|Knew It →
Which of the following lines intersects the y-axis at a thirty degree angle?
Which of the following lines intersects the y-axis at a thirty degree angle?
Tap to reveal answer
← Didn't Know|Knew It →
![]()
What is a possible slope of line y?
What is a possible slope of line y?
Tap to reveal answer
The slope is negative as it starts in quadrant 2 and ends in quadrant 4. Slope is equivlent to the change in y divided by the change in x. The change in y is greater than the change in x, which implies that the slope must be less than –1, leaving –2 as the only possible solution.
The slope is negative as it starts in quadrant 2 and ends in quadrant 4. Slope is equivlent to the change in y divided by the change in x. The change in y is greater than the change in x, which implies that the slope must be less than –1, leaving –2 as the only possible solution.
← Didn't Know|Knew It →
What is the slope between and ?
What is the slope between
Tap to reveal answer
Let $P_{1}$=(8,3) and $P_{2}$=(5,7)
m = $(y_{2}$ - $y_{1}$) div $(x_{2}$ - $x_{1}$) so the slope becomes .
Let $P_{1}$=(8,3) and $P_{2}$=(5,7)
m = $(y_{2}$ - $y_{1}$) div $(x_{2}$ - $x_{1}$) so the slope becomes
← Didn't Know|Knew It →
Tap to reveal answer
← Didn't Know|Knew It →
Refer to above red line. What is its slope?
Refer to above red line. What is its slope?
Tap to reveal answer
The slope of a line. given two points can be calculated using the slope formula
Set :
The slope of a line. given two points
Set
← Didn't Know|Knew It →
Which of the following equations has as its graph a line with slope 4?
Which of the following equations has as its graph a line with slope 4?
Tap to reveal answer
For each equation, solve for and express in the slope-intercept form . The coefficient of will be the slope.
Slope:
Slope:
Slope:
Slope: .
The line of the equation
is the one with slope 4.
For each equation, solve for
Slope:
Slope:
Slope:
Slope:
The line of the equation
is the one with slope 4.
← Didn't Know|Knew It →
Based on the table below, when x = 5, y will equal
x y -1 3 0 1 1 -1 2 -3
Based on the table below, when x = 5, y will equal
| x | y |
|---|---|
| -1 | 3 |
| 0 | 1 |
| 1 | -1 |
| 2 | -3 |
Tap to reveal answer
Use 2 points from the chart to find the equation of the line.
Example: (–1, 3) and (1, –1)
Using the formula for the slope, we find the slope to be –2. Putting that into our equation for a line we get y = –2x + b. Plug in one of the points for x and y into this equation in order to find b. b = 1.
The equation then will be: y = –2x + 1.
Plug in 5 for x in order to find y.
y = –2(5) + 1
y = –9
Use 2 points from the chart to find the equation of the line.
Example: (–1, 3) and (1, –1)
Using the formula for the slope, we find the slope to be –2. Putting that into our equation for a line we get y = –2x + b. Plug in one of the points for x and y into this equation in order to find b. b = 1.
The equation then will be: y = –2x + 1.
Plug in 5 for x in order to find y.
y = –2(5) + 1
y = –9
← Didn't Know|Knew It →
What is the slope of a line that runs through points: (-2, 5) and (1, 7)?
What is the slope of a line that runs through points: (-2, 5) and (1, 7)?
Tap to reveal answer
The slope of a line is defined as a change in the y coordinates over a change in the x coordinates (rise over run).
To calculate the slope of a line, use the following formula:
The slope of a line is defined as a change in the y coordinates over a change in the x coordinates (rise over run).
To calculate the slope of a line, use the following formula:
← Didn't Know|Knew It →