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sertanlavr [38]
3 years ago
8

Find the equation of the line that passes through the points (4,1) and (-4, -5)

Mathematics
1 answer:
aleksley [76]3 years ago
8 0
<h2>Answer:</h2>

First, we must find the slope of the line using <u><em>slope formula*</em></u>.

m = \frac{-5 - 1}{-4 - 4} = \frac{-6}{-8} = \frac{3}{4}

Second, we now find the y-intercept, or <u><em>b</em></u>, using slope-intercept form, the slope we found, and one of the given points.

1 = \frac{3}{4}(4) + b\\\\1 = 3 + b\\\\-2 = b

Lastly, we can now create the equation of the line.

  • m = \frac{3}{4}\\
  • b = -2

The equation of the line that goes through the given points is C.<em> </em>y = \frac{3}{4}x - 2<em></em>

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