Question

Given the ordered pairs find the value of r that makes the slope equal to the given value (3 , r) and (7 , 2) m= 1/4

Possibles answers
A) r= -1
B) r= 2
C) r=1
D) r =3
E) r=0

Answer 1

your answer would be c.

Answer 2

C

Explanation:

Calculate the slope m using the slope formula, then equate to
`(1)/(4)`

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (3, r) and (x₂, y₂ ) = (7, 2)

m =
`(2-r)/(7-3)` =
`(2-r)/(4)` , then

`(2-r)/(4)` =
`(1)/(4)` ( since denominators are both 4, equate the numerators )

2 - r = 1 ( subtract 2 from both sides )

- r = - 1 ( multiply both sides by - 1 )

r = 1 → C