What is the equation of this line? A. y= 2/3r B. y=-3/2r C. y=-2/3r D. y=3/2r​

D

Step-by-step explanation:

Firat, anything going up to the right is a positive over a positive, so right away you know it is either A or D.

Second, slope is rise over run. You see the line goes through (0,0) and also (2,3) so the rise (change in Y values) is 3 and the run (change in X values) is 2. so it is 3/2r.

To find the slope mathematically, you would do it like this:

y1 - y2

x1 - x2

so you would have a slope of

3-0

2-0

which would give you 3/2.

this method works best when the line doesn't go neatly though easy points like the origin.

the correct answer is the second option