SOLUTION: find the equation of the line for the line that contains the point (-4, 18) and is parallel to the line that contains (2, -2) and (6, 3)

Algebra ->  Equations -> SOLUTION: find the equation of the line for the line that contains the point (-4, 18) and is parallel to the line that contains (2, -2) and (6, 3)       Log On


   

Question 977433: find the equation of the line for the line that contains the point (-4, 18) and is parallel to the line that contains (2, -2) and (6, 3)
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
First find the gradient of the line
between (2, -2) and (6,3)
Gradient = y(2) - y(1)/x(2) - x(1)
Gradient = 3 - (-2)/6 - 2
Gradient = 5/4
If two lines are parallel then they
have the same gradient.
Therefore the line containing the
point (-4, 18)
has the equation:
y - 18 = 5/4 (x -(-4))
y - 18 = 5/4(x + 4)
y - 18 = 5/4x + 5
y = 5/4x + 5 + 18
y = 5/4x + 23
OR
4y = 5x + 92 (Multiplied thro' by 4)
Hope this helps:-)