anonymous
  • anonymous
write the slope-intercept form of the equation of the line through(-4,-5), parallel to y=7x-2
Algebra
schrodinger
  • schrodinger
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anonymous
  • anonymous
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. :)
anonymous
  • anonymous
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
anonymous
  • anonymous
Woah woah. We only have \(y=7x\) right now. We're solving from there. Can you plug -4 in for x?

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anonymous
  • anonymous
y=7(-4)-2 y=-28-2
anonymous
  • anonymous
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?
anonymous
  • anonymous
23
anonymous
  • anonymous
Right. So the equation would be \[\large y=7x+23\] and that's it, we're done.
anonymous
  • anonymous
so can you PLEASE explain to me how i graph it?
anonymous
  • anonymous
Manually or on a calc?
anonymous
  • anonymous
manually on a line graph
anonymous
  • anonymous
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)

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