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Mathematics 15 Online
OpenStudy (anonymous):

Closed.

OpenStudy (shamil98):

find the slope of the two coordinates first. y2-y1/x2 -x1 then input the values into y - y1 = m (x-x1)

OpenStudy (anonymous):

@KeithAfasCalcLover, Sorry to bug you. Would you mind explaining it?

OpenStudy (anonymous):

Yeah course no prob! In general, a line passing through points \((x_1,y_1)\textit{ and }(x_2,y_2)\) has the slope, \(m\): \[m=\frac{y_2-y_1}{x_2-x_1}\]

OpenStudy (anonymous):

So in our case we have: \[m=\frac{6-0}{2-4}=-\frac{6}{2}=-3\] So then we can substitute the slope into the formula for a line: \[y=mx+b\to y=-3x+b\] And we can put in any of the two points in for x and y and solve for b; i'll choose \((4,0)\): \[0=-3(4)+b\to0=-12+b\to b=12\] So then we end up with the equation: \[y=-3x+12=-3(x-4)\]

OpenStudy (anonymous):

Which is C haha To prove it, put 4 into x and you should obtain 0; put 2 into x and you should obtain 6

OpenStudy (anonymous):

So, you pretty much plug-in after solving, and you're golden?

OpenStudy (anonymous):

YEAH!

OpenStudy (anonymous):

C

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