Question

Help with homework for graph to answer just need the answer no explanation thank you

Answer 1

First, we need to find the line equation of the given graph. In our to do it, we can choose 2 points along the line, for instance,

`\begin{gathered} (x_1,y_1)=(-1,-2) \\ (x_2,y_2)=(0,2) \end{gathered}`

Then, the slope is given by

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(2-(-2))/(0-(-1))=(4)/(1)=4 \end{gathered}`

And we can note that the y-intercept is y=2. Thefore, the line equation is

`y=4x+2`

By comparing thsi result with the given options, the equations with larger y-intercept and smaller rate are:

`\begin{gathered} y=(1)/(5)x+3 \\ \\ y=2x+5 \end{gathered}`