Question

Given the line below.

Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (-2, 2). Use the box provided to submit all of your calculations and final answers.

Answer 1

The equation of the line in point slope form is equal to

`y+2=(x+2)`

Explanation:

The picture of the question in the attached figure

step 1

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have

(-2,-2) and (2,2)

substitute the values

`m=(2+2)/(2+2)=1`

step 2

Find the equation of the line in point slope form

`y-y1=m(x-x1)`

we have

`m=1\\(x1,y1)=(-2,-2)`

substitute the values in the formula

`y-(-2)=(1)(x-(-2))\\y+2=(x+2)`