Question

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

Answer 1

Answer:

$y = 4x-1$

Step-by-step explanation:

Required:

Determine the equation of the linear function

First, we need to determine the slope (m) as follows:

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

Where

$(x_1,y_1) = (-2,-9)$

$(x_2,y_2) = (4,15)$

Substitute these values in $m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{15- (-9)}{4 - (-2)}$

$m = \frac{24}{6}$

$m =4$

The equation is then calculated using:

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

This gives:

$y -(-9) = 4(x - (-2))$

$y + 9 = 4(x + 2)$

$y + 9 = 4x + 8$

Make y the subject

$y = 4x + 8 - 9$

$y = 4x-1$