Question

A line passes through the points (– 2,– 7) and (– 1,– 3). What is its equation in point-slope form?

Answer 1

y + 7 = 4x + 8

Explanation:

The point-slope form is:

y - y1 = m(x - x1)

First, we find the slope.

Slope = rise/run

Points: (– 2,– 7) and (– 1,– 3)

We see the y increase by 4 and the x increase by 1, so the slope is

m = 4/1 = 4

Now let subtitude the value in the equation.

y - (-7) = 4(x - (-2)

y + 7 = 4x + 8

So, the answer is y + 7 = 4x + 8