Question

WILL MARK BRAINLYST!!! Enter the correct answer in the box. Write your answer in the form y=mx+ b, using the appropriate inequality symbol in place of the equal sign.
What inequality is shown in the graph?

Answer 1

Answer:

The inequality shown in the graphic is $y > 4x + 1$

Step-by-step explanation:

Equation of a line:

The equation of a line is given by:

$y = mx + b$

In which m is the slope and b is the y-intercept(value of y when x = 0).

Inequality:

Values greater than the dashed line, dashed so the line is not part of the inequality, thus, the inequality is:

$y > mx + b$

Dashed line:

The dashed line goes through (0,1) and (1,5).

Point (0,1) means that when $x = 0, y = 1$, so $b = 1$, and:

$y > mx + 1$

Finding the slope:

When we have two points, the slope is given by the change in y divided by the change in x. In this question, we have point (0,1) and (1,5), so:

Change in y: 5 - 1 = 4

Change in x: 1 - 0 = 1

Slope: $m = \frac{4}{1} = 4$

What inequality is shown in the graph?

$y > 4x + 1$