A line passes through the points (1,1)and (9,8).The point on it that has a y-coordinate of -6 is
A) (-7, -6).
B) (6, -6).
C) (-5, -6).
D) (4, -6).
E) (5, -6).

Question

Quizplus · Accepted Answer

The slope of the line can be calculated using the two given points (1,1) and (9,8), which is (8-1)/(9-1) = 7/8. Using the point-slope form, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line, we can substitute m = 7/8, y1 = 1, x1 = 1, and y = -6 to find x. Solving for x gives x = -7, so the point is (-7, -6).

A Line Passes Through the Points (1,1)and (9,8)