Question

Which graph below shows the solutions for the linear inequality y<1/4x-3

Answer 1

The answer is GRAPH C.

Answer 2

y< 1/4x - 3

Lets y = 1/4 x - 3 and find 2 coordinate points

y intercept : x = 0, y = -3. so It's (0, -3)

when x = 4, y = 1/4 (4) - 3 = 1 - 3 = - 2 , so it's (4, - 2)

Now you have two coordinate points (0, -3) and (4, - 2)

The inequality symbol is less than (<), the line is dotted  and also shade the side "under" the line.

Answer is C. Graph C

Bottom left