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Fofino [41]
3 years ago
11

What is the equation of the line through the origin and (-4,-9)?

Mathematics
1 answer:
vitfil [10]3 years ago
3 0

Answer: y = 9x/4

Step-by-step explanation:

We can use slope formula to find the slope of a line that passes through two points (x₁ , y₁) and (x₂ , y₂)

<h3>m = ∆y/∆x = (y₂-y₁)/(x₂-x₁) </h3>

Given points are:

P(x₁ , y₁) = (0, 0)  origin

Q(x₂ , y₂) = (-4, -9)

Substituting these two known points in the slope formula, we have:

m = (-9-0)/(-4-0) = -9/-4 = 9/4  

Now we can use the point-slope formula to write the equation of a line given a point on the line and the slope of the line:  

m = 9/4 , given point P(x₁ , y₁) = (0, 0)  

Formula :

(y-y₁) = m(x-x₁)  

(y-0) = 9/4(x-0)  

<h3>y = 9x/4 </h3>

Answer: y = 9x/4

<h2><em>Spymore</em></h2>
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Can someone help. I’m having trouble with the equation part
mote1985 [20]

Answer:

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A line contains the points<br> ( - 2, – 8) and (3,5).<br> What is the slope of the line?
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Step-by-step explanation:

8 0
4 years ago
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Which points are on the perpendicular bisector of the given segment? Check all that apply. Please explain how you got your answe
ser-zykov [4K]
First, you have to find the equation of the perpendicular bisector of this given line. 
to do that, you need the slope of the perpendicular line and one point.
Step 1: find the slope of the given line segment. We have the two end points (10, 15) and (-20, 5), so the slope is m=(15-5)/(10-(-20))=1/3
the slope of the perpendicular line is the negative reciprocal of the slope of the given line, m=-3/1=-3 
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so the equation of the perpendicular line in point-slope form is (y-10)=-3(x+5)

now plug in all the given coordinates to the equation to see which pair fits:
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try the other pairs, you will find that (1,-8) and (-5, 10) fit the equation too. (-5,10) happens to be the midpoint. 

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Answer:

173.80 interest, 4518.80 total

Step-by-step explanation:

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130.35/12=10.8625/month

10.8625 x 16 months = 173.80 interest over 16 months

4345+173.80=4518.80 total amount

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3 years ago
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