Question

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

Answer 1

We know that

a) the slope-intercept form of the line---------------> y=mx+b
b) if two lines are parallel both have the same slope
then
passes through the point (1,0) and is parallel to x-y=7

Step 1
Find the slope
x-y=7------------> y=x-7------------> m=1

Step 2
Find the slope-intercept form of the line---> y=mx+b
point (1,0)  m=1
0=(1)*(1)+b------> b=-1
y=(1)*x-1--------> y=x-1

the answer is 
y=x-1

using a graph tool
see the attached figure

Answer 2

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! :)