Question

Pleae help me and show work you will be braineist

Answer 1

The equation of a line is given by:

`y-y_1=m(x-x_1)`

where (x1,y1) is a point on the line and m is the slope. To find the slope of a line we use the formula:

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

In this case, we have:

`m=(4-3)/(5-(-2))=(1)/(5+2)=(1)/(7)`

Then, the equation of the line is:

`\begin{gathered} y-4=(1)/(7)(x-5) \\ 7y-28=x-5 \\ x-7y=-23 \end{gathered}`

Therefore:

`x-7y=-23`