Slope

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SSAT Upper Level Quantitative › Slope

Questions 1 - 10

1

What is the slope of the line that passes through the points $(-1,4) \text{ and } (-5,1)$ ?

$\frac{3}{4}$

$-\frac{3}{4}$

$\frac{4}{3}$

$-\frac{4}{3}$

Explanation

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Substituting the values from the points given, we get the following slope:

$\text{Slope}=\frac{1-4}{-5-(-1)}=\frac{-3}{-4}=\frac{3}{4}$

2

What is the slope of the line that passes through the points $(-1,4) \text{ and } (-5,1)$ ?

$\frac{3}{4}$

$-\frac{3}{4}$

$\frac{4}{3}$

$-\frac{4}{3}$

Explanation

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Substituting the values from the points given, we get the following slope:

$\text{Slope}=\frac{1-4}{-5-(-1)}=\frac{-3}{-4}=\frac{3}{4}$

3

Find the slope of a line that passes through the points and .

$\frac{3}{19}$

$\frac{19}{3}$

$-\frac{3}{19}$

$-\frac{19}{3}$

Explanation

To find the slope of the line that passes through the given points, you can use the slope equation.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{-1-2}{-2-17}=\frac{-3}{-19}=\frac{3}{19}$

4

Find the slope of a line that passes through the points and .

$\frac{3}{19}$

$\frac{19}{3}$

$-\frac{3}{19}$

$-\frac{19}{3}$

Explanation

To find the slope of the line that passes through the given points, you can use the slope equation.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{-1-2}{-2-17}=\frac{-3}{-19}=\frac{3}{19}$

5

What is the slope of the line with the equation

$-\frac{2}{3}$

$-\frac{3}{2}$

Explanation

To find the slope, put the equation in the form of .

$y=-\frac{2}{3}x-3$

Since $m=-\frac{2}{3}$ , that is the value of the slope.

6

What is the slope of the line with the equation

$-\frac{2}{3}$

$-\frac{3}{2}$

Explanation

To find the slope, put the equation in the form of .

$y=-\frac{2}{3}x-3$

Since $m=-\frac{2}{3}$ , that is the value of the slope.

7

Find the slope of the line that passes through the points and .

$\frac{3-b}{2-a}$

$\frac{2-a}{3-b}$

$\frac{2-b}{3-a}$

$\frac{3-a}{2-b}$

Explanation

To find the slope of the line that passes through the given points, you can use the slope equation.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{3-b}{2-a}$

8

Find the slope of the line that passes through the points and .

$\frac{3-b}{2-a}$

$\frac{2-a}{3-b}$

$\frac{2-b}{3-a}$

$\frac{3-a}{2-b}$

Explanation

To find the slope of the line that passes through the given points, you can use the slope equation.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{3-b}{2-a}$

9

Find the slope of the following function:

$\frac{1}{3}$

Explanation

Rewrite the equation in slope-intercept form, .

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

$y=\frac{1}{3}x-\frac{1}{2}$

The slope is the term, which is $\frac{1}{3}$ .

10

Find the slope of the following function:

$\frac{1}{3}$

Explanation

Rewrite the equation in slope-intercept form, .

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

$y=\frac{1}{3}x-\frac{1}{2}$

The slope is the term, which is $\frac{1}{3}$ .

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