Question

Graph the line that passes through the points (-2,-7) and (5,0) anddetermine the equation of the lineKuationSubmit Answer

Answer 1

Given points:

(-2,-7) and (5,0)

To get the equation of the line, we will use the formula below:

`y_{}-y_1=m(x_{}-x_1)`

From the points given

`\begin{gathered} x_1=-2,y_1=-7 \\ x_2=5,y_2=0 \end{gathered}`

Where

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1)=(0-(-7))/(5-(-2))=(7)/(7)=1 \\ m=1 \end{gathered}`

Substituting the values into the equation

`\begin{gathered} y-(-7)=1(x-(-2)) \\ y+7=1(x+2) \\ y+7=x+2_{} \\ \end{gathered}`

simplifying further

The equation of the line is:

`y=x-5`

The graph of the points (-2,-7) and (5,0) is given below: