Question

Which of the following equations does the graph below represent

Answer 1

We have two points shown in the graphic:

(-9,0) and (0,6)

To find the slope, m, we'll do:

`\begin{gathered} m=(\Delta y)/(\Delta x) \\ m=(6-0)/(0--9) \\ m=(2)/(3) \end{gathered}`

The equation of the line will be, using the point (-9, 0)

y-y0 = m(x-x0)

y-0= 2/3(x+9)

y= 2/3(x+9)

3y = 2x+18

3y-2x = +18

-2x+3y = 18

Second option.