Question

Complete the equations of the system in slope intercept form use a decimal for the slope if nessisary
Line 1 line 2
X y. X y
0 3. -1 1
1. 5. -2-1
Line 1:y=____x+____
Line 2:y=____x+____

Answer 1

$m=\frac{y_1-y_2}{x_1-x_2}$

Line 1:
$m=\frac{5-3}{1-0}\\ m=\frac{2}{1}\\ m=2\\\\ \hbox{Point (0,3) is y-intercept so } b=3\\\\ y=2x+3$

Line 2:
$m=\frac{1-(-1)}{-1-(-2)}\\ m=\frac{2}{1}\\ m=2\\\\ 1=2\cdot(-1)+b\\ 1=-2+b\\ b=3\\\\ y=2x+3$