SOLUTION: Find equation of line given these two points (-3,-2) (2,6) So far I have M = 8/5 [6-(-2)/2-(-3)] y = 8/5x + b 6 = 8/5(2) + b now what ?

Algebra ->  Graphs -> SOLUTION: Find equation of line given these two points (-3,-2) (2,6) So far I have M = 8/5 [6-(-2)/2-(-3)] y = 8/5x + b 6 = 8/5(2) + b now what ?       Log On


   



Question 490704: Find equation of line given these two points
(-3,-2) (2,6)
So far I have M = 8/5 [6-(-2)/2-(-3)]
y = 8/5x + b
6 = 8/5(2) + b
now what ?

Found 2 solutions by John10, MathLover1:
Answer by John10(297) About Me  (Show Source):
You can put this solution on YOUR website!
Your slope is CORRECT m = 8/5
After that, you will use the slope-point formula as below:
y - yo = m(x - xo)
y - 6 = 8/5(x - 2)
y - 6 = 8x/5 - 16/5
y = 8x/5 - 16/5 + 6
y = 8x/5 - 16/5 + 30/5 ------------>(6 is replaced by 30/5 = 6)
y = 8x/5 + 14/5 which is what you are looking for!
John10:)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-3, -2) and (x2, y2) = (2, 6).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%286--2%29%2F%282--3%29+=+1.6.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 1.6%2A-3+%2Bb+=+2.8. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=-2-1.6%2A-3+=+2.8.

y=(1.6)x + (2.8)

Your graph: