SOLUTION: For each of the following, write the equation of the line determined by the given pair of points. a. (2, -3) and (-1, 1) b. (-3, 0) and (3, 2) Thank you

Algebra ->  Points-lines-and-rays -> SOLUTION: For each of the following, write the equation of the line determined by the given pair of points. a. (2, -3) and (-1, 1) b. (-3, 0) and (3, 2) Thank you      Log On


   



Question 478821: For each of the following, write the equation of the line determined by the given pair of points.
a. (2, -3) and (-1, 1) b. (-3, 0) and (3, 2)
Thank you

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
write the equation of the line determined by the given pair of points.
a. (2, -3) and
(-1, 1) m = -4/3 |Using the point-slope formula, m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29
y = (-4/3)x + b | y = mx + b
1 = (4/3)+b, b = -1/3 |using Pt(-1,1) to solve for b.
y = (-4/3)x-1/3
b. (-3, 0) and
(3, 2) m = -2/-6 = 1/3 |Using the point-slope formula, m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29
y = (1/3)x + b | y = mx + b
0 = -1 + b, b= 1 |using Pt(-3,0) to solve for b
y = (1/3)x + 1