Question

HELP ASAP!! A direct variation function contains the points (-9, -3) and (-12, -4). Which equation represents the function?1. y = -3x2. y = -x/33. y = x/34. y = 3x

Answer 1

y = x/3 (option 3)

Explanation:

To determine the equation that represents the function, first we will find the slope.

points (-9, -3) and (-12, -4)

$\begin{gathered} \text{slope = }m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}$$\begin{gathered} m\text{ = }\frac{-4_{}-(-3)_{}}{-12_{}-(-9_{})}\text{ = }\frac{-4+3}{-12+9} \\ m\text{ =}\frac{-1}{-3}\text{ = 1/3} \end{gathered}$

Then we will insert the value of the slope in the equation of a straight line:

y = mx + c

y = 1/3 (x) +c

where c = 0

y = x/3 (option 3)