aaanderson59
28.11.2020 •
Mathematics
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
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Ответ:
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)
m = ∆y/∆x = (y₂-y₁)/(x₂-x₁)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/4y = 9x/4
SpymoreОтвет:
150
Step-by-step explanation:
If u get it wrong sorry :(