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A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function?

y = –4/3x
y = –3/4x
y = 3/4x
y =4/3 x

User ZacharyP
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2 Answers

5 votes
y=3/4x, as the sign of the function does not change, and the y value is less than the x value
User Boom Shakalaka
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6 votes

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
(y)/(x)=k or
y=kx

With the point 1 or the point 2 find the value of the constant k

Point 1 (-8,-6)

x=-8

y=-6

substitute


(y)/(x)=k


(-6)/(-8)=k


k=(3)/(4)

therefore

the equation is


y=(3)/(4)x

the answer is the option


y=(3)/(4)x

User Fedosov
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