SOLUTION: How do you find the points on the line given the equation of the line? If the line contains points (a, 8) and (5, b) given the equation of the line: y=-2x+2? :/

Algebra ->  Points-lines-and-rays -> SOLUTION: How do you find the points on the line given the equation of the line? If the line contains points (a, 8) and (5, b) given the equation of the line: y=-2x+2? :/      Log On


   

Question 371963: How do you find the points on the line given the equation of the line?
If the line contains points (a, 8) and (5, b) given the equation of the line: y=-2x+2? :/
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

y=-2x+2  line contains points (a, 8) and (5, b)

m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29

(a, 8) and (5, b)

%28%28b-8%29%2F%285-a%29%29+=+%28-2%2F1%29

cross multiplying

-2(5-a) = (b-8)

-10 + 2a + 8 = b

2a - 2 = b

y=-2x+2   Using ordered pair(5,b)

b = -2*5 + 2   

Substituting for b

2a - 2 = -2*5 + 2

2a - 2 = -8

2a = -6

a = -3  and b is -8 (2*-3 - 2)

(-3, 8) and (5, -8)