Question

A linear function contains the following points. what are the slope and the y- intercept?

Answer 1

Answer:

Since

• The slope is 1/4.

• The y-intercept is (0, 3)

Therefore, option (A) is true.

Step-by-step explanation:

Determining the slope

Given the points

• (-8, 1)

• (0, 3)

Finding the slope between the points (-8, 1) and (0, 3)

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

$\left(x_1,\:y_1\right)=\left(-8,\:1\right),\:\left(x_2,\:y_2\right)=\left(0,\:3\right)$

$m=\frac{3-1}{0-\left(-8\right)}$

$m=\frac{1}{4}$

Thus, the slope is 1/4.

Determining the y-intercept

We know that the value of y-intercept can be computed by setting the value x= 0 and determining the corresponding value of y.

From the table, it is clear that

at x=0, y = 3

Thus, the y-intercept is (0, 3)

Since

• The slope is 1/4.

• The y-intercept is (0, 3)

Therefore, option (A) is true.