Question

Find the equation of the linear relationship.

Answer 1

Answer:

$y = -3x +190$

Explanation:

See attachment.

From the attachment, we have the following parameters.

$(x_1,y_1) = (40,70)$

$(x_2,y_2) = (30,100)$

First, the slope of the dots must be calculated.

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

This gives:

$m = \frac{70-100}{40-30}$

$m = \frac{-30}{10}$

$m = -3$

Next, we calculate the linear equation using:

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

Where

$m = -3$

$(x_1,y_1) = (40,70)$

This gives:

$y - 70 = -3(x - 40)$

$y - 70 = -3x +120$

Make y the subject of the formula

$y = -3x +120+70$

$y = -3x +190$