Question

A line that includes the point (-9, -8) has a slope of 5. What is its equation in point-slope

form?
Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.
8
Submit
Work it out

Answer 1

Equation of line that includes the point (-9, -8) has a slope of 5 in point-slope form is

`y+8 = 5 (x + 9)`

Explanation:

Equation of line in point-slope form is given as

`y-y_1 = m (x-x_1)` ---------- (1)

Here

`m=5 \ \ \ and \ \ \ (x_1, y_1) = (-9, -8)`

Substitute values in equation (1)

`y+8 = 5 (x + 9)`

Simplifying it further

`y = 5x + 45 -8`

`y = 5x + 37`