SOLUTION: Find an equation for the line with the given properties. Express the equation in​ slope-intercept form. Slope=7, containing the point (-1,8)

Algebra ->  Equations -> SOLUTION: Find an equation for the line with the given properties. Express the equation in​ slope-intercept form. Slope=7, containing the point (-1,8)       Log On


   

Question 1036794: Find an equation for the line with the given properties. Express the equation in​ slope-intercept form.
Slope=7, containing the point (-1,8)
Found 3 solutions by josgarithmetic, macston, jim_thompson5910:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Point-Slope Format: y-y%5Bo%5D=m%28x-x%5Bo%5D%29

Putting into Slope-Intercept form: y=m%28x-x%5Bo%5D%29%2By%5Bo%5D
y=mx-m%2Ax%5Bo%5D%2By%5Bo%5D

Substitute what is given and simplify.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
y=mx+b
m=7, x=-1, y=8
.
8=7(-1)+b
8=-7+b
15=b
.
Slope intercept form
y=mx+b
y=7x+15
.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The given slope is m = 7. The line goes through (-1,8) which means x = -1 and y = 8

So we have these three pieces of info:
m = 7
x = -1
y = 8

We will plug those three pieces of info into y = mx+b then solve for b.

y = mx+b
8 = 7*(-1)+b
8 = -7+b
8+7 = -7+b+7
15 = b
b = 15

So the y intercept is b = 15.

Because m = 7 and b = 15, this means y = mx+b turns into y = 7x + 15 which is the final answer.