College Algebra

Question

Use slope-intercept form to write an equation of a line passing through the given point and having the given slope. Express the answer in standard form.

P(−4, −6); m =  − 3/4

Answer 1

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

You’re given the value of “m” directly, which allows you to set this up as

y = -3/4x + b

from there then I would plug in the given point in order to solve for “b”

-6 = -3/4(-4) + b

-6 = 3 + b

-9 = b

Putting it all together then gives you the underlying slope-intercept form

y = -3/4x – 9

The final step then is to convert that over into Standard From of Ax + By = C

y = -3/4x – 9

4y = -3x – 36     (multiply through by 4 to get rid of the fraction)

3x + 4y = -36

That means that in the standard form we have A = 3, B = 4, and C = -36

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

y=-3x/4 + b

-6 = -3(-4)/4 + b

b = -6 -3 = -9

y=(-3/4)x -9