Question

The equation of the line passing through the points (5, 17) and (7, 13) can be expressed as y = mx + b. Give the value of b

Answer 1

we are given

two points as (5, 17) and (7, 13)

Firstly , we need to find m

m is slope

so, we can use formula

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

and we get

$m=\frac{13-17}{7-5}$

$m=\frac{-4}{2}$

$m=-2$

now, we can plug m=-2 into y=mx+b

$y=-2x+b$

now, we can use any one point to find b

(5,17)

x=5 and y=17

we can plug it

$17=-2*5+b$

now, we can solve for b

and we get

$b=27$

now, we can plug back b

so, we will get equation as

$y=-2x+27$............Answer

$b=27$............Answer