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Fofino [41]
2 years ago
11

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

Mathematics
1 answer:
vitfil [10]2 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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