briiiianna briiiianna
  • 17-07-2020
  • Mathematics
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Line A has an x-intercept of -4 and a y-intercept of 8. What is its slope?

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sqdancefan
sqdancefan sqdancefan
  • 17-07-2020

Answer:

Step-by-step explanation:

We can use the intercept form of the equation of a line, then solve for y.

Intercept form

  x/(x-intercept) +y/(y-intercept) = 1

  x/-4 +y/8 = 1

__

Solving for y, we have ...

  -2x +y = 8 . . . . multiply by 8

  y = 2x +8 . . . .  add 2x

The coefficient of x is 2, so the slope is 2.

__

The graph shows you the rise is 8 for a run of 4, so ...

  slope = rise/run = 8/4

  slope = 2

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