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2 years ago

A line passes through the points(8,2) and (10,3) What is its equation in slope intercept form

Mathematics

1 answer:

LiRa [457]2 years ago

3 0

Answer: y = ½x - 2

Step-by-step explanation:

<u>Slope-intercept form: y = mx + b</u>

m = slope = $\frac{y_{2} -y_{1} }{x_{2} -x_{1}} =\frac{3-2}{10-8} =\frac{1}{2}$
b = y-intercept ⇒ Substitute in a given point to the function to find b

y = ½x + b

2 = ½(8) + b

2 = 8/2 + b

2 = 4 + b

2 - 4 = b

b = -2

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