Question

Which line is represented by y=3/2x-3 ? A. B. C. D.

Answer 1

B

Explanation:

y = mx + b

y = mx (slope) + b (y-intercept)

The y-intercept of y = 3/2x - 3 is -3, so the graph needs to have a point at (0, -3). The slope is 3/2, if you go up 3 times and to the right twice from the point (0, -3), it will point (2, 0).

Answer 2

B

Explanation:

the equation y=3/2x-3 has a slope of 3/2 and a y intercept of -3

So, first find the graph(s) that have the y intercept of -3. The only options would be B and C.

Next, from the y-intercept of -3, go UP 3, and to the RIGHT 2 to find your next point. This eliminates option C for the slope. The slope of option C is 2/3, not 3/2.

So, option B is correct. Hope this helps ;)