Write the slope-intercept form of the equation form of the equation of the line described. – Show Work

Question

Through: (-3, -1), perp. To y = -8x + 4

Answer 1

Hello, thank you for taking the time to post your question!

First, you need to find the slope of the new line. The slope of the given line is -8. A perpendicular line has a slope that is the negative reciprocal of the original slope, which is 1/8.

Then, you can use the point-slope form with the new slope and the point (-3, -1) to find the equation.

After simplifying that all the way it should end up being: y=1/8x−5/8

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Since the line has to be perpendicular, we need to take the negative inverse of the given slope:

-8 ⇒ ¹/₈

Now that we have the slope, we can use the point-slope formula:

y - y1 = m(x - x1)

y - (-1) = ¹/₈ (x - (-3))

y + 1 = ¹/₈ (x + 3)

y + 1 = ¹/₈ x + ³/₈

y = ¹/₈ x - ⁵/₈