algebra-point-slope form

Question

A line that includes the point(–7,–9)

 has a slope of 1/9.

.

 What is its equation in point-slope form?

Answer 1

Hello Carla,

You should have been given a point-slope formula in class that looks like this:

y - y₁ = m* (x - x₁) where x₁ and y₁ are the coordinates of a point on the line, m is slope of the line. x and y are variables, so don't change them into numbers.

The question tells you the line includes the point (-7,-9) so replace x1 by -7, y1 by -9. The slope is 1/9, so replace m by 1/9.

Put that together and the point-slope equation will be:

y - -9 = (1/9) * (x- -7) which is: y + 9 = (1/9) * (x + 7)