Question

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

Answer 1

Answer:

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

Step-by-step explanation:

step 1

Determine the slope of the dashed line

The formula to calculate the slope between two points is equal to

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

we have

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

substitute

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

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

step 2

Find the equation of the dashed line in slope intercept form

$y=mx+b$

we have

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

$b=3$ ---> given problem

substitute

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

step 3

Find the equation of the inequality

we know that

Is a dashed line and everything to the left of the line is shaded

so

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

see the attached figure to better understand the problem

Answer 2

Simplified Answer:

its C.

y > 2/3x + 3

Step-by-step explanation:

person above explains how you can get this answer