All High School Math Resources
Example Questions
Example Question #2 : How To Identify A Point In Pre Algebra
If the equation of a line is , what is the y-intercept?
In the slope-intercept form of a line, , the y-intercept when the line intersects the y-axis.
It does this at .
So we plug in for in our equation to give us .
Anything multiplied by is so .
Our coordinates for the y-intercept are .
Example Question #3 : How To Identify A Point In Pre Algebra
What is the y-intercept of the line ?
In the standard form of a line the y-intercept occurs when the line intersects the y-axis.
It does this at
So we plug in for in our equation to give us .
Anything multiplied by is so .
Our coordinates for the y-intercept are .
Example Question #4 : How To Identify A Point In Pre Algebra
What is the slope of a line that is parallel to ?
Parallel lines have the same slope.
If an equation is in point-slope form, , we take the from our equation and set it equal to the slope of our parallel line.
In this case
The slope of our parallel line is .
Example Question #1 : How To Identify A Point In Pre Algebra
The point resides in quadrant I (the upper right quadrant), so both values must both be positive. The only possible solution is .
Example Question #6 : How To Identify A Point In Pre Algebra
What is the slope of a line that is perpendicular to ?
The slope of a perpendicular lines has the negative reciprocal of the slope of the original line.
If an equation is in point-slope form, , we use the from our equation as our original slope.
In this case
First flip the sign to get .
To find the reciprocal you take the integer and make it a fraction by placing a over it. If it is already a fraction just flip the numerator and denominator.
Do this to make the slope
The slope of the perpendicular line is .
Example Question #1 : Graphing Lines
What is the slope of the line with the equation ?
In the standard form equation of a line, , the slope is represented by the variable .
In this case the line has a slope of .
Therefore the answer is .
Example Question #4 : Graphing Lines
What is the slope of the line ?
In the slope-intercept form of a line, , the slope is represented by the variable .
In this case the line
has a slope of .
The answer is .
Example Question #5 : Graphing Lines
What is the y-intercept of the line ?
In the slope-intercept form of a line, , the y-intercept is when the line intersects the y-axis.
It does this at .
So we plug in for in our equation
to give us
Anything multiplied by is so
Our coordinates for the y-intercept are .
Example Question #4 : How To Identify A Point In Pre Algebra
What is the slope of a line that is parallel to ?
Parallel lines have the same slope.
If an equation is in slope-intercept form, , we take the from our equation and set it equal to the slope of our parallel line.
In this case .
The slope of our parallel line is .
Example Question #6 : Graphing Lines
What is the slope of the line that contains the points, and ?
To find the slope of a line with two points you must properly plug the points into the slope equation for two points which looks like
We must then properly assign the points to the equation as and .
In this case we will make our and our .
Plugging the points into the equation yields
Perform the math to arrive at
The answer is .