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

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