which equation represents the line that passes through the point (-3,2) and has a slope of 2

Answer 1

Great question Dynesty! For a question like this, you can use point slope form:

y - y₁ = m(x - x₁) where you can plug in your point values into y₁, and x₁ and your slope into m. Therefore, the formula you are looking for is (y - 2) = 2 (x + 3).

If you are interested in why point slope form works then here is a quick explanation:

The slope of any line is defined to be the rise over the run. The rise can be defined as the change in y, while the run can be defined as the change in x. Therefore:

m = (y - y₁)/(x-x₁).

Now if we multiply both sides by (x-x₁), we get our point slope form equation: y - y₁ = m(x - x₁)

Answer 2

Use point-slope form

(y - 2) = 2(x + 4)