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Mathematics 17 Online
OpenStudy (anonymous):

will give medal please help

OpenStudy (anonymous):

What is the equation of the line that contains the two points (0, ) and (, )?

OpenStudy (anonymous):

0,-1 -1, -3

OpenStudy (anonymous):

@iGreen

OpenStudy (igreen):

First, find the slope. \(m = \dfrac{y_2-y_1}{x_2-x_1}\) \(m = \dfrac{-3+1}{-1-0}\) Can you finish that? @ispike

OpenStudy (anonymous):

so 2

OpenStudy (igreen):

Yep.

OpenStudy (igreen):

So the slope is 2.

OpenStudy (anonymous):

is there more ? i feel like there is

OpenStudy (igreen):

Now we can plug that and one of the points into point-slope form. \(y - y_1 = m(x - x_1)\) Where \(m\) is the slope, \(y_1\) is the y-value, and \(x_1\) is the x-value. We can use the point (0, -1). \(y + 1 = 2(x - 0)\) Simplify: \(y + 1 = 2(x)\) Multiply: \(y + 1 = 2x\) Subtract 1 to both sides, what do you get? @ispike

OpenStudy (anonymous):

y=2x-1?

OpenStudy (igreen):

Yep, so that's your answer.

OpenStudy (igreen):

That's your equation.. y = 2x - 1.

OpenStudy (anonymous):

thank you

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