Question

Which inequality does the given graph represent?

A) y > 3x + 4
B) y > 1/3x − 4
C) y > 1/3x + 4
D) y ≥ 1/3x + 4

Answer 1

Answer: C) y > 1/3x + 4

Step-by-step explanation: The line is dashed hence >. The slope is 1/3 and the y- intercept is 4. This makes the inequality y > 1/3x + 4.

Hope this helps! :)

Answer 2

The answer to your question is letter C

Explanation:

Process

1.- Find two points of the dotted line

A (0, 4)

B (3, 5)

2.- Find the slope of the line

`m = (y2 - y1)/(x2 - x1)`

Substitution

`m = (5 - 4)/(3 - 0)`

`m = (1)/(3)`

3.- Write the equation of the line

y - y1 = m(x - x1)

y - 4 = 1/3(x - 0)

y - 4 = 1/3x

y = 1/3x + 4

4.- Write the inequality

We are interested on the upper area so

y > 1/3x + 4