SAT Math - Slope | Practice Hub

Find the slope of the following equation:

$\frac{-2}{3}$

$\frac{3}{2}$

Explanation

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

First subtract 2x from both sides:

That gives us the following:

Divide all three terms by three to get "y" by itself:

$\frac{3y}{3}=\frac{-2x}{3}+\frac{6}{3}\rightarrow y=\frac{-2x}{3}+2$

This means our "m" is -2/3

Find the slope of the following equation:

$\frac{1}{4}$

$\frac{7}{4}$

Explanation

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

First add x to both sides:

That gives us the following:

Divide all three terms by four to get "y" by itself:

$\frac{4y}{4}=\frac{x}{4}+\frac{7}{3}\rightarrow y=\frac{x}{4}+\frac{7}{4}$

This means our "m" is 1/4

Find the slope of the following equation:

$\frac{1}{6}$

Explanation

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

Our equation is already in the "y=mx+b" format, so our "m" is 6.

Find the slope of the following equation:

Explanation

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

To put our equation in the "y=mx+b" format, flip the two terms on the right side of the equation:

So our "m" in this case is -2.

Find the slope of the equation: $\frac{1}{4}y = 2x-2y$

$\frac{8}{9}$

$\frac{7}{8}$

$\textup{There is no slope.}$

Explanation

To determine the slope, we need the equation in slope intercept form.

Multiply by four on both sides to eliminate the fraction.

$\frac{1}{4}y \cdot 4=4 (2x-2y)$

Add on both sides.

Combine like-terms.

Divide by nine on both sides.

$\frac{9y }{9}= \frac{8x}{9}$

$y=\frac{8}{9}x$

The value of , or the slope, is $\frac{8}{9}$ .

Given the points and , what is the slope?

$\frac{5}{4}$

$-\frac{5}{4}$

$-\frac{4}{5}$

$-\frac{2}{5}$

$-\frac{5}{2}$

Explanation

Write the slope equation.

$m= \frac{y_2-y_1}{x_2-x_1}$

Substitute the points and solve for the slope.

$m=\frac{3-8}{-1-3} = \frac{-5}{-4}$

The answer is: $\frac{5}{4}$

What is the slope of the line depicted by this equation?

$\small 4x+5y=14$

$\small -\frac{4}{5}$

$\small \frac{4}{5}$

$\small \frac{14}{5}$

$\small \frac{5}{4}$

Explanation

This equation is written in standard form, that is, $\small Ax+By=C$ where the slope is equal to $\small \frac{-A}{B}$ .

$\small 4x+5y=14$

In this instance $\small A=4$ and $\small B=5$

$m=-\frac{A}{B}=-\frac{4}{5}$

This question can also be solved by converting the slope-intercept form: $\small y=-\frac{4}{5}x+\frac{14}{5}$ .

What is the slopeof the line between the points (-1,0) and (3,5)?

$\frac{5}{4}$

$\frac{3}{2}$

Explanation

For this problem we will need to use the slope equation:

$m=\frac{y_2-y_1}{x_2-x_1}$

In our case and

Therefore, our slope equation would read:

$m=\frac{5-0}{3--1}=\frac{5}{4}$

What is the slope of the function

Explanation

To find the slope of this function we first need to get it into slope-intercept form

where

To do this we need to divide the function by 3:

From here we can see our m, which is our slope equals 2

What is the slope of the function:

Explanation

For this question we need to get the function into slope intercept form first which is

where the m equals our slope.

In our case we need to do algebraic opperations to get it into the desired form

$y=\frac{8x+16}{2}$

Therefore our slope is 4

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