Answer:
b = 5
Step-by-step explanation:
Since you are given two points, you can find the slope (m). Use the equation for slope to find it.
[tex]m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }\\[/tex]
Plug the points into the equation and solve.
[tex]m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }\\m=\frac{-3-3 }{4-1}\\m=\frac{-6}{3}\\ m=-2[/tex]
Now that you have the slope, you can use it and one of the points given to you to find the equation of the line by using point-slope form.
[tex]y-y_{1}=m(x-x_{1} )[/tex]
Plug in the slope and one point and solve.
[tex]y-y_{1}=m(x-x_{1} )\\y-3=-2(x-1)\\y-3=-2x+2\\y = -2x+5[/tex]
The equation for the line is (y = -2x + 5). The value for b is 5.
