Answer:
b=4
Step-by-step explanation:
For this question we need to know the formula of slope that is m which is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where [tex](x_1,y_1) , (x_2,y_2)[/tex] are the points [tex](5,-8),(-1,b)[/tex] respectively
and hence we have the value of m= -2 which is the slope we simply plug in all the values.
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\-2=\frac{b-(-8)}{-1-5} \\\\-2=\frac{b+8}{-6} \\\\12=b+8\\12-8=b\\4=b[/tex]
So the value of b=4
Answer:
b is 4
Step-by-step explanation:
Several steps are required to find this answer. You need to use the information you are given as well as the formula y=mx+b. You are given the slope and one of the coordinates. Plug the information into the formula to find b, which is the constant.
The point given is (5,-8)
The slope given is -2
Plug the x and y into y=mx+b
-8=-2(5)+b
-8=-10+b
-8+10=b
b=2
Now that you have the full equation, y=-2x+2 , you can plug in the x-coordinate of the other coordinate to find the missing y-value.
y=-2(-1)+2
y=2+2
y=4
Therefore, the b you are solving for is 4.
