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 or the upload option to submit all of your calculations and final answers.

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)`