SOLUTION: how to find an equation for the line parallel to the line -3x+9y=-9 having the same y-intercept as 4x-9y=8

Algebra ->  Graphs -> SOLUTION: how to find an equation for the line parallel to the line -3x+9y=-9 having the same y-intercept as 4x-9y=8      Log On


   



Question 100267This question is from textbook intermediate algebra
: how to find an equation for the line parallel to the line -3x+9y=-9 having the same y-intercept as 4x-9y=8 This question is from textbook intermediate algebra

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
how to find an equation for the line parallel to the line -3x+9y=-9 having the same y-intercept as 4x-9y=8
-3x+9y=-9
We have to find the slope so we have to get the formula in this form: y=mx+b where m is the slope.
9y=3x-9
y=(1/3)x-1
so, m=1/3 and any line parallel to it will have m=1/3.
the line must have the same y intercept as 4x-9y=8
x intercept is when y=0. When that happens 4x=8; x=2
now we have a point: (2,0) and a slope: 1/3.
y-y%5B1%5D=m%28x-x%5B1%5D%29
y-0=%281%2F3%29%28x-2%29
y=%281%2F3%29x-%282%2F3%29 is the formula.
Ed
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%281%2F3%29x-1%2C%281%2F3%29x-%282%2F3%29%29