What is the slope-intercept form of the function that contains the point (–3, 2) and has a slope of –2?
y = x +
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OpenStudy (ellaella02):
PLEASE HELP I WILL MEDAL AND FAN AND EVERYTHING
OpenStudy (ellaella02):
@Michele_Laino
OpenStudy (ellaella02):
@Hero
OpenStudy (ellaella02):
@Nnesha
OpenStudy (michele_laino):
here we have to apply this formula:
\(y-y_0=m(x-x_0)\)
where \(m\) is the slope, \(x_0=-3,y_0=2\)
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OpenStudy (sweetburger):
slope intercept is y=mx + b where m is the slope and b is the y intercept therefore you know what m is as it is given in the question. Now plug in the set of given points for x and y and proceed to solve for b.
OpenStudy (ellaella02):
Um how do I do that?
OpenStudy (michele_laino):
it is simple, you have to replace \(m=-2\), \(x_0=-3,y_0=2\)
so we get:
\(y-2=-2(x+3)\)
please simplify
OpenStudy (ellaella02):
Would it be x=−1/2 y−2
OpenStudy (ellaella02):
y=−2x−4
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OpenStudy (michele_laino):
hint:
here is the next step:
\(y-2=-2x-6\)
correct!