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

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

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

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ok can you explain the very last part again
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.
ok i still dont get it could you just give me the answer please lol
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
no but could you help me with something else
At what step do you get lost.
basically the whole thing sorry
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.
yea
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
uhh ok im getting lost
"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.
im really bad at math so sorry if im wasting your time
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.
ok sort of
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?
ok u can keep goin
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.
ok im starting to get it
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
ok
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)
ok is that all
Yup. You now have the equation of the line that has a slope -3/4 passing through the point (-2,-10)
omg thank u so much are you an adult
No problem Almost :P. Still in high school
oh ill be in highschool this coming year
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