Question

Write an inequality for the given graph. Picture above (Please Help!!)

Answer 1

Answer:

y < $\frac{1}{2}x-3$

Step-by-step explanation:

We will find the equation of the dotted line first.

Let the equation of the line is,

y = mx + b

Here, m = slope and b = y-intercept of the line

Slope 'm' = $\frac{\text{Rise}}{\text{Run}}$

m = $\frac{3}{6}$

m = $\frac{1}{2}$

Y-intercept 'b' = -3

Therefore, equation of the line is,

y = $\frac{1}{2}x-3$

Since, this line is a dotted line, it will represent an inequality with notation of less than or greater than (< or >)

Since, solution area (shaded area) of this inequality is below the line inequality will be,

y < $\frac{1}{2}x-3$