Question

What is the inequality?

Answer 1

Y < 0.25x + 4






Hope this helps :))

Answer 2

y < 0.25x + 4

Explanation:

The dotted line indicates that the inequality is either a greater than(>) or less than(<). This is because the answer does include the set of points along the line.

We are looking to find an inequality such that any point below that is considered a solution. Thus, after finding the line's equation in slope-intercept form, we can replace the = with <.

Solving for the line:

Take any 2 points and determine the slope. I used (-8,2) and (0,4). The slope using
`(y_2-y_1)/(x_2-x_1)` results in
`(1)/(4)` or 0.25. As we can see visually from the graph, the y-intercept is (0,4). Thus, the equation of the line is y = 0.25x + 4.

Now all we do is replace the = with the < and we have our answer:

y < 0.25x + 4