Question

Complete the equation for the linear function whose graph contains the points

(2, 5) and (3, 0).



y − = (x − 2)

Answer 1

First we find the slope.

\(m = \dfrac{y_2-y_1}{x_2-x_1}\)

\(m = \dfrac{0-5}{3-2}\)

Subtract & Divide

Answer 2

\[\frac{ -5 }{ 1 } = -5\]

Answer 3

Yes, so we can plug -5 into the equation.

\(y - y_1 = m(x- x_1)\)

Where 'm' is slope:

\(y - y_1 = -5(x - x_1)\)

Now we can plug any of the two points into this equation.

\(x_1\) is the x-value of the point, and \(y_1\) is the y-value of the point.

Answer 4

So can you plug in (2, 5)?

Answer 5

\[y-5=-5(x-2)\]

Answer 6

Yes!

Answer 7

That's your answer.

Answer 8

thank you for the help..again lol

Answer 9

No problem :)