Question

Which linear inequality is represented by the graph?

y ≤ One-halfx + 2
y ≥ One-halfx + 2
y ≤ One-thirdx + 2
y ≥ One-thirdx + 2

help please !!

Answer 1

Option A

Explanation:

Consider the equation of this line, in slope intercept form;

`y = mx + b - Where m = slope, b = y - intercept,\\slope = 1 / 2 = 0.5,\\y - intercept = 2,\\\\Equation - y = 1/2x + 2`

The line is not dotted, which means that if we were to represent the equation of this line as an inequality, we would substitute a
`\leq` sign in replacement of the = sign;

`Inequality - y \leq 1 / 2x + 2`

Solution ⇒ Option A