SOLUTION: find the slope and y intercept of the line y=-8x+7 is the line parallel to y=-1/8x+7?

Algebra ->  Conversion and Units of Measurement -> SOLUTION: find the slope and y intercept of the line y=-8x+7 is the line parallel to y=-1/8x+7?      Log On


   

Question 114783: find the slope and y intercept of the line
y=-8x+7 is the line parallel to y=-1/8x+7?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
find the slope and y intercept of the line

y=-8x%2B7…the equation of the line is already written in slope-intercept form, y+=+mx%2Bb.
So
y intercept is b=7
Slope m+=+-8
is the line parallel to y=-%281%2F8%29x%2B7?
Slope is m%5B1%5D=+-+1%2F8

In order to have parallel lines, the lines must have equal slopes. As we can see these lines have different slopes (m is NOT equal to m%5B1%5D, so the lines are NOT parallel.
proof by graphing:
y=-8x%2B7…....writte in standard form, mx+%2B+y+=+b.
8x+%2B+y=7…....and next one is
y=-%281%2F8%29x%2B7…....
here is graph
Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:


8x%2By=7

0125x%2By=7





In order to graph these equations, we need to solve for y for each equation.




So let's solve for y on the first equation


8x%2By=7 Start with the given equation



1y=7-8x Subtract 8+x from both sides



1y=-8x%2B7 Rearrange the equation



y=%28-8x%2B7%29%2F%281%29 Divide both sides by 1



y=%28-8%2F1%29x%2B%287%29%2F%281%29 Break up the fraction



y=-8x%2B7 Reduce



Now lets graph y=-8x%2B7 (note: if you need help with graphing, check out this solver)



+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-8x%2B7%29+ Graph of y=-8x%2B7




So let's solve for y on the second equation


0125x%2By=7 Start with the given equation



1y=7-0125x Subtract 0125+x from both sides



1y=-0125x%2B7 Rearrange the equation



y=%28-0125x%2B7%29%2F%281%29 Divide both sides by 1



y=%28-0125%2F1%29x%2B%287%29%2F%281%29 Break up the fraction



y=-125x%2B7 Reduce





Now lets add the graph of y=-125x%2B7 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-8x%2B7%2C-125x%2B7%29+ Graph of y=-8x%2B7(red) and y=-125x%2B7(green)


From the graph, we can see that the two lines intersect at the point (0,7) (note: you might have to adjust the window to see the intersection)