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:

The answer to your question is letter C

Step-by-step explanation:

Process

1.- Find two points of the dotted line

   A (0, 4)

   B (3, 5)

2.- Find the slope of the line

   $m = \frac{y2 - y1}{x2 - x1}$

Substitution

   $m = \frac{5 - 4}{3 - 0}$

   $m = \frac{1}{3}$

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

Answer 2

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!  :)