Question

The slope of g(x) is 3 and g(-4) = -1. Find the equation for g(x).

Answer 1

g(x)=3x+11

Step-by-step explanation:

Given that the slope of g(x) = 3

g(-4) = -1.

This means that when x=-4, y=-1

A point on the line g(x) is (-4, -1)

To determine the equation of the line, we use the point-slope form given below:

`y-y_1=m(x-x_1)`
`\begin{gathered} \text{Slope,m}=3 \\ \mleft(x_1,y_1\mright)=\mleft(-4,-1$)$\mright. \end{gathered}`

Substituting, we have:

`\begin{gathered} y-y_1=m(x-x_1) \\ y-(-1)=3(x-(-4)_{}) \\ y+1=3(x+4) \\ y=3x+12-1 \\ y=3x+11 \end{gathered}`

The equation for g(x) is:

`g(x)=3x+11`