Question

Find the equation of the linear function represented by the table below in slope-

Answer 1

Answer:

$y = x +2$

Step-by-step explanation:

Given

The attached table

Required

Determine the equation

First, calculate the slope (m)

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

Where

$(x_1,y_1) = (-3,-1)$

$(x_2,y_2) = (1,3)$

So, we have:

$m = \frac{3 - (-1)}{1 - (-3)}$

$m = \frac{3 +1}{1 +3}$

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

$m =1$

The equation in slope intercept form is calculated using

$y = m(x - x_1) + y_1$

This gives:

$y = 1(x - (-3)) -1$

$y = 1(x +3) -1$

$y = x +3 -1$

$y = x +2$