Parallel and perpendicular lines

Find the equation of the line in slope-intercept form that is parallel to y = x - 5 and passes through the origins

It would be in y=mx+b form. The slope is 1 because it is parallel and has the same slope, so you your value for m is 1 and the y-intercept is 0 so your b value is 0. Therefore, you answer is y=x.

Standard form of a line is y=mx+b where m is the slope and b is the y-intercept. So the slope of our original equation is 1. Parallel lines have the same slope. So the slope of the new equation is 1. So that's:

y=x+b

To find b plug in the coordinates of the origin (0,0)

0=0+b
0=b

So the equation is y=x

I think you want to find the y intercept. :)

Y- 1-5 is 4 so 4,1. X is 0, 1,2, and so on
Y- 2-5 is 3 so 3,2
Y- 3-5 is 2 so 2,3
Y- 4-5 is 1 so 1,4
Y- 0-5 is 0 so 0,5
Y -1-5 is -6 so-6,5

And so on...

I think the y- intercept is 1,2

Parallel lines have the same slope. Since y = x - 5 has slope 1, the other line has slope 1.

The line also passes through the point (0,0), which is the origin.

y - 0 = 1(x-0)

ANSWER: y = x

slope of y = x - 5 is 1
parallel lines have the same slope, so
y = x