Question

What is the slope of the line through (2,-2)(2,−2)(, 2, comma, minus, 2, )and (9,3)(9,3)(, 9, comma, 3, )? Choose 1 answer: Choose 1 answer:

a.(Choice A) A \dfrac57 7 5 ​ start fraction, 5, divided by, 7, end fraction
b.(Choice B) B -\dfrac75− 5 7 ​ minus, start fraction, 7, divided by, 5, end fraction
c.(Choice C) C -\dfrac57− 7 5 ​ minus, start fraction, 5, divided by, 7, end fraction
d.(Choice D) D \dfrac75 5 7 ​

Answer 1

A)
`(5)/(7)`

Explanation:

Use the two-points formula for the slope of a line.

We know that the points (2,-2) and (9,3) are on the line. If (a,b),(c,d) are points on a line then the slope m is defined by the equation
`m=(d-b)/(c-a)`. In this case, a=2,b=-2,c=9 and d=3 then the slope is
`m=(3-(-2))/(9-2)=(5)/(7)`.