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

Mathematics

1 answer:

aleksley [76]2 years ago

8 0

<h2>Answer:</h2>

First, we must find the slope of the line using slope formula*.

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

Second, we now find the y-intercept, or b, 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. $y = \frac{3}{4}x - 2$

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