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Algebra/slope intercept

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Expert: - 9/22/2008


Question
what is the slope intercept form of the equation of a line that passes through (4,-6) and (3,2)

Answer
slope = (-6 - 2) / (4 - 3) = -8/1 = -8

y = mx + b is the slope intercept form where m is the slope and b is the y intercept

We know m = -8 , so

y = -8x + b

We need to find b

Since (3,2) is a point on the line , substitute 3 for x and 2 for y and get 2 = (-8)(3) + b and 2 = -24 + b so b = 26

The slope intercept form is then

y = -8x + 26

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