Answer:
- x-intercept (12.5, 0)
- y-intercept (0, -5)
Step-by-step explanation:
The slope of the line is ...
... (change in y)/(change in x) = (-3 -(-5))/(5 - 0) = 2/5
The y-intercept is given: (0, -5).
The slope-intercept form of the equation can be written from this information as ...
... y = (2/5)x - 5
Solving this for y=0 (to find the x-intercept), we have
... 0 = (2/5)x - 5
... 5 = (2/5)x
... 5·(5/2) = x = 12.5
So, the x-intercept is 12.5, and the y-intercept (given) is -5.
