Question

Write the linear equation that passes through the two given points (2,-2) and (0,-1)

Answer 1

Given the points:

(x1, y1) ==> (2, -2)

(x2, y2) ==> (0, -1)

To find the linear equation, use the form:

y = mx + b

where m is the slope.

To find the slope, use the formula below:

$m=\frac{y2-y1}{x2-x1}$

Thus, we have the slope as:

$m=\frac{-1-(-2)}{0-2}=\frac{-1+2}{0-2}=\frac{1}{-2}=-\frac{1}{2}$

Input 2 for x, -2 for y, and -1/2 for b to find b.

$\begin{gathered} -2=-\frac{1}{2}(2)+b \\ \\ -2=-1+b \\ \\ -2+1=b \\ \\ -1=b \end{gathered}$

Therefore, the linear equation is:

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

ANSWER:

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