Question

Determine the rate of change of a line that passes through the coordinates G (-13, -4) andB (7, -12). Reduce when necessary. (Show all work)

Answer 1

Step-by-step explanation:

-We must first identify the points that correspond to the x-axis and the points that correspond to the y-axis.

-To calculate the slope, then we apply the formula of the slope or rate of change which is the following:

`\begin{gathered} \text{the rate of change :} \\ m=(y2-y1)/(x2-x1)\text{ } \end{gathered}`

-now we must correctly locate the points in the formula.

`\begin{gathered} G\text{ }(-13,-4),\text{ X1}=-13\text{ and y1}=-4 \\ B(7,-12);\text{ X2}=7\text{ and y2}=-12 \\ m=(-12-(-4))/(7-(-13))\text{ }=(-12+4)/(7+13)=(-8)/(20)=(-4)/(10) \\ simplify;\text{ }(-4)/(10)=(-2)/(5) \end{gathered}`

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