Question

what is the equationof a line with a slope -3/4 passing through the point (-2,-10)

Answer 1

The equation of a line is y=mx+b. You are given an x, a y and an m. You can then solve for b. Then write the equation as y=(m you are given)x+(b you solved for)

Answer 2

i dont get math at all and you just confused me a whole lot

Answer 3

Sorry. The equation of any like is y=mx+b where m is the slope and b is the y-intercept. They give you the slope which is m and the coordinates (-2,-10) are in the form (x,y). That means they gave you the values for m, x and y. So now you have
-10=(-3/4)(-2)+b. You then solve for b.

Then write the equation as y=(m which is the slope)x+(b you solved for)

Answer 4

line*

Answer 5

ok can you explain the very last part again

Answer 6

Sure. So now you solved for b and you are given m. y and x remain as variables though. So you write y=mx+b but plug in the m they gave you and the b you solved for. The x and y remain as just x and y.

Answer 7

ok i still dont get it could you just give me the answer please lol

Answer 8

I really want you to get it =/
-10=(-3/4)(-2)+b. You then solve for b.

y=mx+b
y=(-3/4)x-(23/2) Hope you see how i got to that

Answer 9

no but could you help me with something else

Answer 10

At what step do you get lost.

Answer 11

basically the whole thing sorry

Answer 12

So you know that the equation of any line is y=mx+b. Where m is the slope of the line and b is the point where it crosses the y axis, right.

Answer 13

yea

Answer 14

So in the problem they give you the slope and the coordinate of a point that is supposed to be on this line. So they give you m a certain x and a certain y

Answer 15

uhh ok im getting lost

Answer 16

"what is the equation of a line with a slope -3/4 passing through the point (-2,-10)" Slope is -3/4. Since slope is the m value we have y=(-3/4)x+b, right.

Answer 17

im really bad at math so sorry if im wasting your time

Answer 18

Don't worry about it. Do you get what i did on the last step though?
we had y=mx+b as the equation of the line. They told us the slope which is m so I just plugged it in.

Answer 19

ok sort of

Answer 20

So we have y=(-3/4)x+b. Now they tell us that this point (-2,-10) is on the line. The point is written in the form (x,y). Ok so far?

Answer 21

ok u can keep goin

Answer 22

So we know that since this point is on the line, it makes the equation of the line true. This means that -10=m(-2)+b. Since we are also given m, we have -10=(-3/4)(-2)+b.

Answer 23

ok im starting to get it

Answer 24

Now we can solve for b since everything else is just numbers.
-10=(3/2)+b.
-10-(3/2)=b
b=-23/2

So now we have m=-3/4 and b=-23/2

Answer 25

ok

Answer 26

Now since the equation of the line is just y=mx+b where y and x are variables, we have all the information we need. Now we just plug them in:
y=(-3/4)x+(-23/2)
y=(-3/4)x-(23/2)

Answer 27

ok is that all

Answer 28

Yup. You now have the equation of the line that has a slope -3/4 passing through the point (-2,-10)

Answer 29

omg thank u so much are you an adult

Answer 30

No problem
Almost :P. Still in high school

Answer 31

oh ill be in highschool this coming year

Answer 32

are you on facebook