SOLUTION: 1. Find an equation of the line that passes through the point (-1, 3) and is parallel to the line passing through the points (-2, -1) and (4, 3). 2. Given that the point P(2, -3

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 1. Find an equation of the line that passes through the point (-1, 3) and is parallel to the line passing through the points (-2, -1) and (4, 3). 2. Given that the point P(2, -3      Log On


   

Question 390156: 1. Find an equation of the line that passes through the point (-1, 3) and is parallel to the line passing through the points (-2, -1) and (4, 3).
2. Given that the point P(2, -3) lies on the line -2x + ky + 10 =0, find k
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
1. The slope through (-2, -1) and (4,3) is (3--1)/(4--2) = 4/6 = 2/3. The equation is then y-3+=+2%28x--1%29%2F3, or 3y+-+9+=+2x+%2B+2, or 2x+-+3y+%2B+11+=+0.

2. Just plug in the coordinates into the equation: -2*2 + k*-3 + 10 = 0, or -4 - 3k + 10 = 0, or
-3k + 6 = 0, or k = 2.