SOLUTION: Given two points, find: Slope Point-Slope Form Slope-Intercept Form Standard Form (-2,6)&(-5,7)

Algebra ->  Graphs -> SOLUTION: Given two points, find: Slope Point-Slope Form Slope-Intercept Form Standard Form (-2,6)&(-5,7)      Log On


   

Question 364770: Given two points, find:
Slope
Point-Slope Form
Slope-Intercept Form
Standard Form
(-2,6)&(-5,7)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%287-6%29%2F%28-5-%28-2%29%29=%287-6%29%2F%28-5%2B3%29
When you have the slope, use the point-slope form,
y-y%5Bp%5D=m%28x-x%5Bp%5D%29 with either point.
y-7=m%28x-%28-5%29%29
highlight%28y-7=m%28x%2B5%29%29
.
.
.
Convert to slope-intercept form, y=mx%2Bb
y=mx%2B5m%2B7
highlight%28y=mx%2B%285m%2B7%29%29
.
.
.
Then convert to standard form, get rid of all denominators.
Move x and y to the left hand side, constant on the right hand side.
Coefficient for x should be positive.
highlight%28ax%2Bby=c%29