brownlarvel
brownlarvel brownlarvel
  • 16-12-2021
  • Mathematics
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What is the slope-intercept equation of this line?

What is the slopeintercept equation of this line class=

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solime
solime solime
  • 16-12-2021
Finding the gradient using the rise/run method:

y2-y1 / x2-x1 = gradient

Point 1 = (0,4)
Point 2 = (2,-2)

-2-4 / 2-0 = –6/2
-6/2 = –3

So -3 is the gradient (slope).

To find the y-intercept, find where the line meets the y axis. In this case, the line crosses the y axis when y = 4 (0,4), so the y-intercept is 4.

So the equation of the line would be y = –3x + 4, the first option.
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