Carcass wrote:
Line k lies in the xy-plane. The x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are and (2, 9), and (2, 0). What is the slope of line k ?
Give your answer as a fraction.
GIVEN: The x-intercept of line k is -4The y-coordinate is always 0 at any x-intercept.
So, we now know that line K passes through the point
(-4, 0) GIVEN: line k passes through the midpoint of the line segment whose endpoints are and (2, 9), and (2, 0)The MIDPOINT of a line segment with endpoints (2, 9), and (2, 0) is (2, 4.5)
So, we now know that line K passes through the point
(2, 4.5)What is the slope of line k?Slope = rise/run
= (
4.5 -
0)/(
2 -
(-4))
=
4.5/6=
9/12=
3/4Answer: 3/4
Cheers,
Brent
_________________
Brent Hanneson - founder of Greenlight Test Prep