Question

Can someone please show me how to do this? im confused and thank you :)write an equation of a line that passes through the given point and is parallel to graph of the given equation. (2,-1);y=5x-2

Answer 1

y = mx + b is the form for slope-intercept form
m = slope and b = y-intercept
the line you are looking for would have to have the same slope as the given equation in order for the two lines to be parallel
so m = 5 from y = 5x - 2
then make an equation given that slope = m = 5 and the point (2, -1)

Answer 2

oh , ok I I have this one (0,-5);y=9x so the slope would be 9?

Answer 3

yep :)

Answer 4

but how would I find the line that passes through? that's what its asking and idk what it is :/

Answer 5

I'm not quite sure what you are asking,
may I ask what the full question was?

Answer 6

yeah. write an equation of a line that passes through the given point and is parallel to graph of the given equation. this is what its asking and it give me equations

Answer 7

okay, so for given the point (0,-5); and the equation y=9x
a line parallel to y = 9x would have to have a slope of 9
then y = 9x + b
and temporarily plug in the points (0, -5) into y = 9x + b to find b.
so (-5) = 9(0) + b
then b = -5
so the equation that they want would be y = 9x - 5

Answer 8

Then how would I be able to do this one (2,-1);y=5x-2

Answer 9

would -2 replace B?

Answer 10

from y=5x-2, the slope would be 5
then with y = 5x + b
you temporarily plug in the points (2, -1) into y = 5x + b to find b
so (-1) = 5(2) + b
but b would Not be -2

Answer 11

so the equation would be -1=10+b? sorry if i'm askig too much question

Answer 12

you would solve for b from -1 = 10 + b
then plug in what you got from b back into the y = 5x + b

Answer 13

oh ok thank you so much. May I ask you on more quesio?

Answer 14

sure :)

Answer 15

ok, so this one asks us graph the equation but the equations are like y+3=2(x-1)

Answer 16

can show me example so I can do the rest by myself :)

Answer 17

ah yes, okay, so that would be in point-slope form:
y - y1 = m(x - x1)
when m = slope and given point on line (x1, y1)

so for an equation in point-slope form like y + 3 = 2(x - 1)
you would graph it knowing that the slope = 2 and a point is (1, -3)

Answer 18

cool thank you again.

Answer 19

you're welcome :)