SOLUTION: How do I solve: x=-2/7y+3/4? How do i find the y-intercept and x-intercept and graph y= 2x+4 / y= -2x-4?

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: How do I solve: x=-2/7y+3/4? How do i find the y-intercept and x-intercept and graph y= 2x+4 / y= -2x-4?      Log On


   

Question 171134This question is from textbook Glenco Algebra 2 Integration Applications Connections
: How do I solve: x=-2/7y+3/4? How do i find the y-intercept and x-intercept and graph y= 2x+4 / y= -2x-4? This question is from textbook Glenco Algebra 2 Integration Applications Connections

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Given: x=%28-2%2F7%29y%2B3%2F4
To get going, we go to the Point-Slope intercept form eqn: y=mx%2Bb
where ---->system%28m=Slope%2C+b=yIntercept%29
Re-arranging given eqn to follow point-Slope form:
x-%283%2F4%29=%28-2%2F7%29y
%28x-%283%2F4%29%29%2F%28-2%2F7%29=cross%28-2%2F7%29y%2Fcross%28-2%2F7%29
%28x%2F%28-2%2F7%29%29-%28%283%2F4%29%2F%28-2%2F7%29%29=y
y=%28-7%2F2%29x%2B%283%2F4%29%287%2F2%29 ---->highlight%28y=%28-7%2F2%29x%2B%2821%2F8%29%29, ANSWER
So we find that --->system%28Slope=m=-7%2F2%2Cb=yIntercept=21%2F8%29
Going back to given:
f%28y%29=0
x=%28-2%2F7%29%280%29%2B3%2F4,
x=3%2F4 ---> X-intercept
See graph:
---> see x & y-intercept (3/4,0) & (0,21/8)
.
y=+2x%2B4 ----> It follows Slope Intercept form y=mx%2Bb
f%28y%29=0
2x=-4 -->cross%282%29x%2Fcross%282%29=cross%28-4%292%2Fcross%282%29
highlight%28x=-2%29, x intercept
f%28x%29=0
highlight%28y=4%29, y-intercept
y=+-2x-4?
f%28y%29=0
-2x=4 ---> cross%28-2%29x%2Fcross%28-2%29=cross%284%292%2Fcross%28-2%29
highlight%28x=-2%29, x-intercept
f%28x%29=0
highlight%28y=-4%29, y-intercept
see the graph below:
---> RED Line,y=2x%2B4; GREEN Line, y=-2x-4
Thank you,
Jojo