What is the equation of the line through the origin and (-4,-9)? A. y= 4x

B. y = 4/9x

c. y = 9/4x

D. y = 9x

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)

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)  

y = 9x/4

2

step-by-step explanation: