Step-by-step explanation:
Hey there!
The given slope is "-5" and it passes through point (2,-3).
Use one-point formula to find out the equation.
[tex](y - y1) = m(x - x1)[/tex]
Put all values.
[tex](y + 3) = - 5(x - 2)[/tex]
Simplify it.
[tex](y + 3) = - 5x + 10[/tex]
[tex]y = - 5x + 10 - 3[/tex]
[tex]y = - 5x + 7[/tex]
Therefore, the equation is y= -5x+7.
Hope it helps...