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Naddika [18.5K]
3 years ago
10

A line passes through the points (1, 8) and (0, 3). What is its equation in slope-intercept form?

Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0

Answer:

Step-by-step explanation:

The equation is y=mx+b.

In this case, you plug in 3 for b, because b represents the y-intercept and the y-intercept is (0,3).

To figure out the slope, the equation is y-y/x-x, so it would be 8-3/1-0, which leves us with 5.

M represents the slope so your answer is:

Y=5x+3

Hope this helps!

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General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (-7,5)\ (-4,1)\ into\ equation\\\\ &#10;\left \{ {{5=-7a+b}\ \ \ \ \atop {1=-4a+b\ |*-1}} \right.\\\\ \left \{ {{5=-7a+b}\ \ \ \ \atop {-1=4a-b}} \right.\\\\&#10;+----\\\\Addition\ method\\\\&#10;4=-3a\ \ |:(-3)\\\\&#10;a=-\frac{4}{3}\\\\&#10;b=5+7a=5+7*(-\frac{4}{3})=5-\frac{28}{3}=-4\frac{1}{3}\\\&#10;Answer\ y=-\frac{4}{3}x-4\frac{1}{3}\\\\&#10;Checking\ solution:\\&#10;y-5=-\frac{4}{3}(x+7)&#10;y-5=-\frac{4}{3}x-\frac{28}{3}\\\\&#10;y=-\frac{4}{3}x-\frac{28}{3}+5\\\\&#10;y=-\frac{4}{3}x-4\frac{1}{3}\\\\Answer:B \ and\ D.
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