SOLUTION: Write the point-slope form of the equation of the line described. through: (-3, 3), parallel to y = -8/3x - 4

Algebra ->  Linear-equations -> SOLUTION: Write the point-slope form of the equation of the line described. through: (-3, 3), parallel to y = -8/3x - 4      Log On


   

Question 1131797: Write the point-slope form of the equation of the line described.
through: (-3, 3), parallel to y = -8/3x - 4
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the point-slope form of the equation of the line:
y-y%5B1%5D=m%28x-x%5B1%5D%29

if line passes through: (-3, 3), we have
y-3=m%28x-%28-3%29%29
y-3=m%28x%2B3%29
we need a slope
if line is parallel to y+=+-%288%2F3%29x+-+4, it will have same slope which is -%288%2F3%29
so, your line will be:
y-3=-%288%2F3%29%28x%2B3%29
y-3=-%288%2F3%29x-%288%2F3%293
y-3=-%288%2F3%29x-8
y=-%288%2F3%29x-8%2B3
y=-%288%2F3%29x-5