On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

Question

3 months ago

5

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

e left of the line is shaded. Which linear inequality is represented by the graph? y < Two-thirdsx + 3 y > Three-halvesx + 3 y > Two-thirdsx + 3 y < Three-halvesx + 3

Mathematics

2 answers:

Svet_ta [12.7K] · Answer 1 · 2026-02-23T22:38:20+03:00

Answer:

$y>\frac{2}{3}x+3$

Step-by-step explanation:

Step 1

Calculate the slope of the dashed line

The slope between two points is computed with the formula:

$m=\frac{y2-y1}{x2-x1}$

We consider

(-3,1) and (0,3)

and substitute into it:

$m=\frac{3-1}{0+3}$

$m=\frac{2}{3}$

Step 2

Determine the equation of the dashed line in slope-intercept form:

$y=mx+b$

The equation we established is:

$m=\frac{2}{3}$

$b=3$ ---> associated problem

Substituting yields:

$y=\frac{2}{3}x+3$

Step 3

Establish the inequality corresponding to the graph

Given that it is represented by a dashed line, the area to the left of this line is shaded.

Thus,

$y>\frac{2}{3}x+3$

Refer to the attached diagram for enhanced understanding of the problem.

AnnZ [12.3K] · Answer 2 · 2026-02-23T22:39:08+03:00

AnnZ [12.3K]3 months ago

5 0

Simplified Answer:

the correct answer is C.

y > 2/3x + 3

Step-by-step explanation:

The individual in the previous response has outlined how to arrive at this conclusion.