Question

I need help with a problemIt says state the equation of the line I’m not sure if I did it right

Answer 1

Step 1

State the point-slope formula

$y-y_1=\frac{x_2-x_1}{y_2-y_1}(x-x_1)$

Step 2

$\begin{gathered} y_1=-4 \\ y_2=1 \\ x_1=5 \\ x_2=0 \end{gathered}$

Step 3

Substitute and get the equation of a line

$\begin{gathered} y-(-4)=\frac{1-(-4)}{0-5}(x-5_{}) \\ y+4=\frac{5}{-5}(x-5) \\ y+4=-1(x-5) \\ y=-x+5-4 \\ y=-x+1 \end{gathered}$

The required equation is y=-x+1