Answer:
[tex]y=3x+37[/tex]
Step-by-step explanation:
Determine slope:
[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{49-22}{4-(-5)}=\frac{27}{4+5}=\frac{27}{9}=3[/tex]
Determine y-intercept:
[tex]y=mx+b[/tex]
[tex]49=3(4)+b[/tex]
[tex]49=12+b[/tex]
[tex]37=b[/tex]
Final equation:
[tex]y=3x+37[/tex]
