Question

which graph represents the solution to the inequality y<$\frac{1}{2}$-4?

Answer 1

Given the inequality:

$y\leq\frac{1}{2}x-4$

Let's graph the inequality.

Apply the slope-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

From the inequality given, we have:

slope = ½

y-intercept = -4

Let's graph the inequality using 3 points.

• When x = 2

$\begin{gathered} y\leq\frac{1}{2}(2)-4 \\ \\ y\leq1-4 \\ \\ y\leq-3 \end{gathered}$

• When x = -2

$\begin{gathered} y\leq\frac{1}{2}(-2)-4 \\ \\ y\leq-1-4 \\ \\ y\leq-5 \end{gathered}$

Therefore, we have the points:

(0, -4)

(2, -3)

(-2, -5)

Mark the points on the line then draw