Write an equation in point-slope form of the line that passes through the point (4,−9) and has a slope of 6.

Answer 1

The point slope form of the equation of a line is

y - y₁ = m(x - x₁)

m = 6

x₁ = 4

y₁ = -9

Just plug these numbers into the equation and you are done.

Answer 2

Hello, Adam.

Okay, so the point-slope form is

(y - y₁) = m(x - x₁)

Where m = the slope of the line

and where (x_1, y₁) is a point on the line

So, if the slope is 6, then m = 6

Now, you plug that and the point (4, -9) into the equation above.

(y -(-9)) = 6(x - 4)

y + 9 = 6(x - 4)

This is the point slope form of the line.