Question

**WILL MEDAL**
Which equation is graphed here?
http://static.k12.com/calms_media/media/1312500_1313000/1312639/1/5634cf4cc78c5f954e9151076931e1346ad3a658/HS_A1G2_S1_07_08_ART1.jpg

A. y-3=-2/3(x+1)
B. y-4=-3/2(x+2)
C. y-1=-3/2(x+2)
D. y+1=-2/3(x-3)

Answer 1

C?

Answer 2

Am I right

Answer 3

Pick any 2 points you can see on that graph, for example (0,1) and (2,-2)

\[\large m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 1}{2 - 0} = \frac{-3}{2}\]

that is your slope

Plug that into the point slope equation with either of your 2 points

\[\large y- y_0 = m(x - x_0)\]
\[\large y - 1 = -(\frac{3}{2}(x - 0))\]
\[\large y - 1 = -\frac{3}{2}x\]
\[\large y = -\frac{3}{2}x + 1\]

Answer 4

D.\[\left\{y\to \frac{7}{3}-\frac{2 x}{3},y\to 1-\frac{3 x}{2},y\to -\frac{3 x}{2}-2,y\to 1-\frac{2 x}{3}\right\} \]The above is the result of the Mathematica program solving each equation for y. You can mentally replace the right arrows with the equal sign.