Question

32. What is the rate of change of y with the respect to x for 24x - 4y = 50

Answer 1

The equation for the graph is given as

`24x-4y=50`

Let us rearrange the equation into its Slope-Intercept form given as

`y=mx+c`

Where

m = rate of change

c = y-intercept

Therefore, we will have

`-4y=-24x+50`

Divide all terms by -4 to make y a standalone variable:

`\begin{gathered} (-4y)/(-4)=(-24x)/(-4)+(50)/((-4)) \\ y=6x-(25)/(2) \end{gathered}`

Comparing with the Slope-Intercept equation, the rate of change is given as 6.