Step 1
Given;
Step 2
We find the slope
[tex]y_2=\frac{-3-(-4)}{5-2}=\frac{1}{3}[/tex]
The standard equation of a line is given as;
[tex]\begin{gathered} y=mx+b \\ m=slope=\frac{1}{3} \\ b=y-intercept \\ y=-4 \\ x=2 \end{gathered}[/tex][tex]\begin{gathered} -4=\frac{1}{3}(2)+b \\ -12=2+3b \\ 3b=-14 \\ b=-\frac{14}{3} \end{gathered}[/tex]
Answer;
[tex]y=\frac{1}{3}x-\frac{14}{3}[/tex]
