what is the equation of the following line (-3 9) (0 0)

Question

I need help

Answer 1

Hi Asia R

y= -3x

In Slope Intercept Form, y = mx + b you actually have both your y- intercept and slope of your line in the coordinates as given please below;

Since you have two points, (0,0) and (-3,9) you can use them to calculate a slope, m for your line and also to solve for b for your line in Slope Intercept Form

y=mx+b

Where m = (y₂ - y₁)/(x₂ - x₁)

Let (0,0) represent point 1

Let (-3,9) represent point 2

m = (9-0)/(-3-0) = 9/-3 = -3

Now solve for b, using one of the points

9 = -3(-3) + b

9 = 9 + b

9 - 9 = b

0 = b

Your line in Slope Intercept Form is y = -3x

You can graph your line at Desmos.com to check and confirm both points given in your question

I hope this helps.