# math

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What is the slope of the line described by the equation below?

y - 9 = -2(x - 8)

• math -

first put it in slope intercept form

y=mx +b
m is the slope and b will give you the y intercept

y-9 = -2(x-8)

multiply everyting in the parenthesis by -2

y-9= -2x + 16

and then plus 9 from both side

y= -2x + 25

your slope is -2

• math -

the equation is in the form
y - y1 = m(x - x1) where (x1, y1) is a point and m is the slope.
By the "just-looking-at it" principle, the slope is -2

(and a point on it is (8,9) )

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