Question

Write the point-slope equation of the line that goes through (5, 3) with a slope of -12.

Answer 1

y-3=-12(x-5)

Explanation:

Point Slope form is:
`y-y_1=m(x-x_1)`

Where:

`(x_1,y_1)-\text {Coordinate Point}\\m-\text{Slope}`

In the given question, the slope is -12 and the point given is (5,3).

So:

`m=-12\\(x_1,y_1)=(5,3)`

Replace the variables with the appropriate values.

We get:

`y-3=-12(x-5)`

So, y-3=-12(x-5) should be your answer.

Answer 2

Explanation:

Point slope equation:

y - y1 = m(x - x1)

Insert the values:

y - 3 = -12(x - 5)