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weqwewe [10]
3 years ago
10

(-5,-7),(0,-5),(5,-3) Determine the intercepts of the line that passes through the following points.

Mathematics
1 answer:
creativ13 [48]3 years ago
7 0

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.

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