Question

Could someone please explain to me how to solve this question?

Answer 1

Answer:

$y+2 = x+2$

Step-by-step explanation:

A line is written in the point-slope form if its equation is in the form

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

where

$m=\frac{y_2-y_1}{x_2-x_1}$ is the slope of the line, calculated using the two points $(x_1,y_1)$ and $(x_2,y_2)$

In this problem, we have the following two points:

$(x_1,y_1) = (-2,-2)\\(x_2,y_2)=(2,2)$

Therefore we can calculate the slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-2)}{2-(-2)}=\frac{4}{4}=1$

And so, the equation of the line in point-slope form is

$y-(-2) = 1(x-(-2))\\\rightarrow y+2 = x+2$