Question

Given the line below.

Answer 1

We have to write the equation of the line, in point-slope form. Given an identified point (x1, y1) as the point (-2, 2). So that means x1=-2 and y1=2

Value of slope "m" is not given so i will keep using "m" for the slope. In case value of slope m is given in the problem then you can plug that number in place of m.

Point slope formula is given by:

$y-y_1=m\left(x-x_1\right)$

plug the given values into above formula :

$y-\left(2\right)=m\left(x-\left(-2\right)\right)$

$y-2=m\left(x+2\right)$

so the required answer in point slope form is $y-2=m\left(x+2\right)$