Question

Please Help. Write the equation of linear Inequalities to represent each graph.

Answer 1

Green Line:

This is a horizontal line at x = 0, so it would be:

x ? 0      

Since the shaded area is going to the left of 0 (this means x is negative):

x ≤ 0

Blue Line:

The shaded area is below the line, so:

y ≤ mx + b

When x = 0, y is -5.

y ≤ mx - 5

From each point, you go up 3 units, and to the right 4 units, so the slope is $\frac{3}{4}$.

$y\leq \frac{3}{4}x-5$