Question

What is the equation of the line that passes through the points (3,-2) and (-1,2)

Answer 1

Answer:

A. y = -x + 1

Step-by-step explanation:

First find the slope of the two lines using the slope formula: $\frac{y_2-y_1}{x_2-x_1}$.

$\frac{2-(-2)}{-1-3} =\frac{4}{-4} =-1$

Now use one of the two points; I am going to use (-1, 2).

Substitute the point and slope into the point-slope equation: y - y1 = m(x - x1).

y - (2) = -1(x - (-1))

Simplify.

y - 2 = -1x - 1

Add 2 to both sides and remove the 1 in front of the x. It is not needed.

y = -x + 1