Answer: c) y = 9/4 · x
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)
m = ∆y/∆x = y₂-y₁/x₂-x₁
Given points are: P(x₁ , y₁) = (0, 0) and 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 = 9/4 · x
Answer: c) y = 9/4 · x
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