Question

A line passes through the points (-3,-4) and (6,2).

10
8
6
.4
2
-10 8
-6
21
2
4
6
8
10
14
6
10
What is the x-intercept of this line?

Answer 1

y = (2/3)x - 2

Explanation:

Next time please present your table in actual tabular form: x y

As we move from (-3,-4) to (6,2), x (the run) increases by 9 and y (the rise) increases by 6. Thus, the slope of the line segment connecting these two points is m = rise / run = 6/9, or m = 2/3.

Start with the slope-intercept form of the equation of a straight line:

y = mx + b => 2 = (2/3)(6) + b and find b:

2 = 4 + b, so b = -2, and the desired equation is y = (2/3)x - 2