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barxatty [35]
3 years ago
15

write the slope-intercept form of the line that passes through the point (1,0) and is parallel to x-y=7. type your answer in the

box provided or use the upload option to submit your solution
Mathematics
2 answers:
jeyben [28]3 years ago
8 0

We know that a parallel line has the same slope. And the slope-intercept form in y=mx+b.

1. simplify x-y=7 to isolate y.

subtract x:    -y=-x+7

then divide by -1:  y=x-7

so the slope is 1 (m=1)

2. plug in m=1 and (1,0)           *******alternate solution below

0=1(1)+b

0=1+b    subtract 1

-1=b    (b=-1)

3.  y=mx+b plug in numbers. ( in bold)

y=1x-1

your answer is y=x-1

*****alternate answer solution from step 2 (using step 1)

2. use the formula y-y1=m(x-x1) (y1 and x1 is with the 1 below the letters BTW)

plug in (1,0)

y-0=1(x-1)

y=1x-1

y=x-1 is your answer.

So it comes out as the same answer. Just 2 different ways to doing it! :)

Brilliant_brown [7]3 years ago
7 0
  • Parallel lines have the same slope but different y intercepts.
  • turn x-y=7 into slope intercept form by isolating y which would be -y=-x+7
  • divide the equation by -1 in order to make y positive and you get y=x-7
  • So rewrite the equation with the same slope but this time solving for b
  • y=x+b
  • plug in your coordinates
  • 0=1+b
  • subtract 1 from both sides
  • -1=b
  • so your equation would be
  • y=x-1
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