Q. # 17 graph the inequality on a coordinate plane.. - y < 3x - 5

The inequality -y<3x-5 by multiplying by -1 becomes y>-3x+5.
1. Draw line y=-3x+5. When x=0, y=5, when y=0, -3x+5=0, x=5/3.
2. Choose the correct semiplane, substituting (0,0) into the inequality. Since 0 is not greater than 5, you can conclude that point (0,0) isn't a solution and doesn't belong to the shaded area.
3. The correct answer is first choice

-y<3x-5

Multiply each term by -1 to make Y positive: ( when multiplying an inequality by a negative value you also reverse the inequality sign).

multiplying the original equation by -1 you get:
y>-3x +5

The slope is the number in front of the x, so the slope = -3
The Y intercept is the last number in the equation, so y-intercept is 5

When the line crosses x at 0, it would be on Y = 5 and since the slope is negative, the line would  slant downwards from left to right.

Because the inequality sign becomes > (greater than) the shaded portion would be to the right of the line.

 The first graph in your picture is the correct answer.