Question

What is the equation of the line that passes through the point (-3,7) and has a slope of -4/3

Answer 1

Answer:

y=-4/3+3

Step-by-step explanation:

To find this equation in slope-intercept form you must first put it into point-slope form. Remember point-slope is $y-y_{2}=m(x-x_{2})$ so plugin the points and slope to get $y-7=-4/3(x+3)$. Then solve the equation for y.

First, distribute the -4/3

y-7= -4/3x-4

Then, add 7 to both sides

y=-4/3+3

Answer 2

Answer:

y=-4/3x+3

Step-by-step explanation:

y-7=-4/3(x-(-3))

y-7=-4/3x-4

y=-4/3x+3