Question 830107
Question:
The points (-2, 11) and (6, 3) lie on the same line. What is the x intercept of the line?
----------------------------------------------
Answer:
slope, m = {{{(3 - 11)/(6 - (-2)) = -1}}}
y = mx + b, m = -1 so
y = -x + b, Substitute x = -2 and y = 11, then solve for b
11 = -(-2) + b
b = 9
The equation of the line is y = -x + 9.
To get the x-intercept, let y = 0 and solve for x.
0 = -x + 9
x = 9
The x-intercept is (9, 0).