SOLUTION: Write the slope-intercept form of the equation of the line through the given points. through: (-5, -3) and (-4, 4)

Algebra ->  Linear-equations -> SOLUTION: Write the slope-intercept form of the equation of the line through the given points. through: (-5, -3) and (-4, 4)      Log On


   

Question 1076760: Write the slope-intercept form of the equation of the line through the given points. through: (-5, -3) and (-4, 4)
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
slope is 7, change in y/change in x (4-(-4))/-4-(-5))
point slope formula y-y1=m(x-x1) where m is slope and (x1,y1)is point
y-4=7(x+4)
y=7x+32
graph%28300%2C300%2C-10%2C10%2C-10%2C50%2C7x%2B32%29

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
the slope-intercept form of the equation of the line:
y=mx%2Bb
through the given points:
(x%5B1%5D, y%5B1%5D)=(-5, -3) and
(x%5B2%5D, y%5B2%5D)=(-4, 4)
the slope: m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%284-%28-3%29%29%2F%28-4-%28-5%29%29
m=%284%2B3%29%2F%28-4%2B5%29
m=7
go to y=mx%2Bb, use m=7 and point (-5, -3) to find b
-3=7%28-5%29%2Bb
-3=-35%2Bb
35-3=b
b=32
so, your equation is: y=7x%2B32