Find an equation

Question

find and equation of the line with the slope -3 that contains the points (5,3)

Answer 1

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

on this type of question you want to start with the general equation of the line, y = mx + b, then plug in the values that we know to solve for the y-intercept value of b

3 = -3(5) + b

3 = -15 + b

b = 18

putting it all together then we have the equation of the line being

y = -3x + 18

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

y-3=-3(x-5)

 

y=-3x+18