College algebra

Question

Write an equation for the line described. Give the answer in standard form. through (4,9), m= -9

Answer 1

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

If you plug the slope and the point into slope-form we can simplify algebraically to get to the full equation for the line. On this one that means taking

y – 9 = -9(x – 4)

y – 9 = -9x + 36

9x + y = 45

Meaning that the equation for the line in standard form is 9x + y = 45

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

B = y - mX

= 9 - -9*4

= 9 - -36

= 9 + 36

= 45

y = -9x + 45