Question

The functions are written in plot slope form state a point on the graph and the slope M

Answer 1

The function given is,

`f(x)=-3+7(x+2)`

We are told to graph the function, state a point (x₀,y₀) and also solve for the slope.

The graph of the function will be shown below

Note:

`-1.571\text{ in fraction is }\frac{\text{-11}}{7}`

From the graph, the points are

`\begin{gathered} (x_1,y_1)\rightarrow(-(11)/(7),0) \\ (x_2,y_2)\rightarrow(0,11) \end{gathered}`

The formula for the slope(m) between two points is,

`m=(y_2-y_1)/(x_2-x_1)`

Substituting the values of x1 = -11/7, y1 = 0, x2 = 0, y2 = 11 in order to solve for the slope.

`\begin{gathered} m=(11-0)/(0--(11)/(7))=(11)/(0+(11)/(7))=(11)/((11)/(7)) \\ m=11/(11)/(7)=11*(7)/(11)=(77)/(11)=7 \\ \therefore m=7 \end{gathered}`

Hence, the slope

`m=7`