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valkas [14]
3 years ago
12

If a line includes the points (8,0) and (20,12). What is its equation in slope-intercept form?

Mathematics
1 answer:
aev [14]3 years ago
8 0

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

substitute the coordinates of the points (8, 0) and (20, 12) to the formula:

m=\dfrac{12-0}{20-8}=\dfrac{12}{12}=1

y = 1x + b = x + b

Put the coordinates of the point (8, 0) to the equation of a line:

0 = 8 + b      <em>subtract 8 from both sides</em>

-8 = b

<h3>Answer: y = x - 8</h3>
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