Given the following question:
Point A = (-1, 4) = (x1, y1)
Point B = (0, 5) = (x2, y2)
[tex]m=\frac{y2-y1}{x2-x1}[/tex][tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{5-4}{0--1}=\frac{1}{1}=1 \\ m=1 \end{gathered}[/tex]
Now write in slope intercept form where...
[tex]\begin{gathered} y=mx+b \\ m=1 \\ y=4 \\ x=-1 \end{gathered}[/tex]
Substitute to find b:
[tex]\begin{gathered} 4=1(-1)+b \\ 1\times-1=-1 \\ \text{ +1 on both sides} \\ 4+1=5 \\ 5=b \\ b=5 \\ y=1x+5 \end{gathered}[/tex]
b = 5
y intercept is (0, 5)
Now graph the following equation:
