A line passes through (6, -1) and (2, k) and has x-intercept 4. Find k.
A) k = 1
B) k = 2
C) k = 0
D) k = -1
E) k = -2

Question

Quizplus · Accepted Answer

The slope of the line can be calculated using the two points (6, -1) and (2, k). The slope formula is (y2 - y1) / (x2 - x1), which gives (k - (-1)) / (2 - 6) = (k + 1) / (-4). Since the line has an x-intercept of 4, it passes through the point (4, 0). Using the point-slope form of a line, y - y1 = m(x - x1), with (x1, y1) = (6, -1) and m = (k + 1) / (-4), we substitute x = 4 and y = 0 to solve for k. Simplifying gives k = 1.

A Line Passes Through (6, -1) and (2, K) and Has