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

Simplified Answer:

its C.

y > 2/3x + 3

Explanation:

person above explains how you can get this answer

Answer 2

`y>(2)/(3)x+3`

Explanation:

step 1

Determine the slope of the dashed line

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

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

we have

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

substitute

`m=(3-1)/(0+3)`

`m=(2)/(3)`

step 2

Find the equation of the dashed line in slope intercept form

`y=mx+b`

we have

`m=(2)/(3)`

`b=3` ---> given problem

substitute

`y=(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>(2)/(3)x+3`

see the attached figure to better understand the problem