SOLUTION: Write an equation in Point Slope form with the given scenario Passing through (-2,2) and parallel to the line whose equation is 2x-3y=7

Algebra ->  Linear-equations -> SOLUTION: Write an equation in Point Slope form with the given scenario Passing through (-2,2) and parallel to the line whose equation is 2x-3y=7      Log On


   

Question 1015014: Write an equation in Point Slope form with the given scenario
Passing through (-2,2) and parallel to the line whose equation is 2x-3y=7
Found 2 solutions by Fombitz, LinnW:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel line would have the same left hand side, different right hand side.
2x-3y=D
Use the point to solve for D.
2%28-2%29-3%282%29=D
D=-4-6
D=-10
2x-3y=-10
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Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
First step is to find the slope of 2x-3y=7
Solve for y
add -2x to each side
-3y = -2x + 7
divide each side by -3
y = (-2x + 7)/-3
y = (2/3)x -7/3
So the slope, m = 2/3
Using the general form y = mx + b and the point (-2,2)
Substitute 2/3 for m, -2 for x, and 2 for y
2 = (2/3)(-2) + b
2 = -4/3 + b
add 4/3 to each side
2 4/3 = b
3 1/3 = b
So the equation is y = (2/3)x + 3 1/3