we are given two points as
(3, 16) and (5, 10)
firstly , we will find slope
slope is m
so, we can use formula
[tex] m=\frac{y_2-y_1}{x_2-x_1} [/tex]
now, we can plug points
[tex] m=\frac{10-16}{5-3} [/tex]
[tex] m=\frac{-6}{2} [/tex]
[tex] m=-3 [/tex]
we can plug it in y=mx+b
we get
[tex] y=-3x+b [/tex]
now, we can select any one points
and find b
(3,16)
x=3 and y=16
[tex] 16=-3*3+b [/tex]
we can find b
[tex] b=25 [/tex]
now, we can plug back b
and we get
[tex] y=-3x+25 [/tex]
so, equation is
[tex] y=-3x+25 [/tex]
and
[tex] b=25 [/tex]...............Answer
