Question

write the slope-intercept form of the equation of the line through(-4,-5), parallel to y=7x-2

Answer 1

Parallel means it will have the same slope but a different y-intercept. So right now we have \[\large y=7x\] The next step is to plug in the "-4" for the x and see what you get for the y. :)

Answer 2

yes so right now this is how i have it
y=7x-2
-5=7(-2)-2
-5=-28-2
-5=-30
-35=b
y=7x-35
I am lost from here

Answer 3

Woah woah. We only have \(y=7x\) right now. We're solving from there. Can you plug -4 in for x?

Answer 4

y=7(-4)-2
y=-28-2

Answer 5

No -2, take that out. It would be just \(y=-28\) But it should be \(y=-5\) since the set of points is (-4,-5). So what can you add to -28 to get -5?

Answer 6

23

Answer 7

Right. So the equation would be \[\large y=7x+23\] and that's it, we're done.

Answer 8

so can you PLEASE explain to me how i graph it?

Answer 9

Manually or on a calc?

Answer 10

manually on a line graph

Answer 11

Just plug in an x and then mark the cooresponding y. Once you've made enough dots at points, draw a line through them. I'll give you an example for x=1
\[\large y=7(1)+23\\\large y=30\] so the point would be (1,30)