Question

Hi I need help ASAP whoever gets it right I give you brainst

Answer 1

In order to find the equation that represents this line, let's use two points of the line in the slope-intercept form of the linear equation:

`y=mx+b`

Using the points (-2, 1) and (4, 6), we have:

`\begin{gathered} y=mx+b \\ (-2,1)\colon \\ 1=-2m+b \\ (4,6)\colon \\ 6=4m+b \end{gathered}`

Multiplying the first equation by 2 and adding it with the second equation, we have:

`\begin{gathered} 2=-4m+2b \\ 2+6=-4m+2b+(4m+b) \\ 8=3b \\ b=(8)/(3) \\ \\ 1=-2m+(8)/(3) \\ 2m=(8)/(3)-1 \\ 2m=(5)/(3) \\ m=(5)/(6) \end{gathered}`

So our equation is:

`y=(5)/(6)x+(8)/(3)`