Question

Write the inequality for the graph below. In two or three sentences, explain how you generated the inequality. Make sure to explain how you got the slope, y-intercept, and inequality.

Please Help, I Really Need The Answer To This Question

Answer 1

Answer: y < (-1/4)*x + 1.

Explanation:

The first thing you need to notice is that the line is not solid and that the shaded part is under the line, so our inequality will be strictly smaller than a linear equation.

y < a*x + b.

Now let's find the equation of the line.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In the graph, we can see that the line passes through the points: (0,1) and (4. 0)

Then the slope is:

a = (0 - 1)/(4 -0) = -1/4.

Now we know that the line is:

y = (-1/4)*x + b

To find the value of b, just replace the value of one of the points in the equation.

We know that (0,1) is a solution of the equation (x= 0, y = 1)

1 = (-1/4)*0 + b = b

1 = b

Then our inequality is:

y < (-1/4)*x + 1.