Question

(1,3)(4,-3) y=Mx+b what is the value of b

Answer 1

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.

$m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }$

Plug the points into the equation and solve.

$m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }\\m=\frac{-3-3 }{4-1}\\m=\frac{-6}{3}\\ m=-2$

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.

$y-y_{1}=m(x-x_{1} )$

Plug in the slope and one point and solve.

$y-y_{1}=m(x-x_{1} )\\y-3=-2(x-1)\\y-3=-2x+2\\y = -2x+5$

The equation for the line is (y = -2x + 5).  The value for b is 5.