Question

A line has a slope of -2/3 and passes through the point (-3,8). What is the equation of the line?

Answer 1

Answer:y=-2/3x+6

Step-by-step explanation:

took unit test on edge2020

Answer 2

Answer:

Step-by-step explanation:

We'll use the standard equation y=mx+b to solve this problem. m is the slope of the line and b is the y intercept.

We know the slope, but we have to solve for the y intercept. To do this (I mean solve for 'b'), we need to know the slope, x value, and y value. We know the slope (-2/3), x= -3, and y=8. Let's plug this into y=mx+b and solve for b.

$y=mx+b\\8=-\frac{2}{3}*-3 +b\\8=2+b\\b=8-2\\b=6$

Let's plug all of this back into the first equation y=mx+b.

$y=mx+b\\y=-\frac{2}{3}x+6$

That's the answer to this problem.

I hope this helps.