Answer:
- x-intercept: (-5, 0)
- y-intercept: (0, 5/3)
Explanation:
The slope of the line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (3 -1)/(4 -(-2)) = 2/6 = 1/3
The y-intercept is given by ...
b = y -mx
b = 1 -1/3(-2) = 5/3 . . . . . the y-intercept
The slope-intercept equation of the line is ...
y = 1/3x +5/3
The x-intercept can be found by setting y=0 and solving for x.
0 = 1/3x +5/3
0 = x +5 . . . . . . multiply by 3
-5 = x . . . . . . . subtract 5
The x-intercept is (-5, 0); the y-intercept is (0, 5/3).