Answer:
b=5
Step-by-step explanation:
C(1,3) and point D(4,-3)
Since we want the equation in slope intercept form we must first calculate the slope (m):
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\m=\frac{-3-3}{4-1}\\ \\m=\frac{-6}{3} \\\\m=-2[/tex]
By point slope formula and using point C (1,3) we have:[tex]y-y_{1}=m(x-x_{1})\\\\y=m(x-x_{1})+y_{1}\\\\y=-2(x-1)+3\\\\y=-2x+2+3\\\\y=-2x+5[/tex]
So the slope is -2 and the y -intercept (b) is 5.
