Answer :
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
Line 1:
[tex]m=\frac{5-3}{1-0}\\ m=\frac{2}{1}\\ m=2\\\\ \hbox{Point (0,3) is y-intercept so } b=3\\\\ y=2x+3[/tex]
Line 2:
[tex]m=\frac{1-(-1)}{-1-(-2)}\\ m=\frac{2}{1}\\ m=2\\\\ 1=2\cdot(-1)+b\\ 1=-2+b\\ b=3\\\\ y=2x+3[/tex]
Line 1:
[tex]m=\frac{5-3}{1-0}\\ m=\frac{2}{1}\\ m=2\\\\ \hbox{Point (0,3) is y-intercept so } b=3\\\\ y=2x+3[/tex]
Line 2:
[tex]m=\frac{1-(-1)}{-1-(-2)}\\ m=\frac{2}{1}\\ m=2\\\\ 1=2\cdot(-1)+b\\ 1=-2+b\\ b=3\\\\ y=2x+3[/tex]