Question

What inequality does the graph represent 

Answer 1

1. An inequality which the graph represent is y > 2x + 1.

2. I found this inequality to represent the graph by using the point-slope form.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

`y - y_1 = m(x - x_1)`

Where:

• x and y represent the data points.
• m represent the slope.

Part 1.

First of all, we would determine the slope for this line by using these points (0, 1) and (1, 3);

`Slope(m)=(y_2-y_1)/(x_2-x_1)`

Slope (m) = (3 - 1)/(1 - 0)

Slope (m) = 2/1

Slope (m) = 2

At data point (0, 1) and a slope of 2, an inequality that represents this line can be calculated by using the point-slope form as follows:

`y - y_1 = m(x - x_1)`

y - 1 = 2(x - 0)

y = 2x + 1

y > 2x + 1 (since the line is dashed and shaded above)

Part 2

In conclusion, I found this inequality that represents the graph by using the point-slope form.