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

its C (on edge 2021)

y > 2/3x + 3Step-by-step explanation:

i took the test

Answer 2

(c) y > 2/3x + 3

Explanation:

Shading to the left of a line with positive slope is the same as shading above that line. That, and the fact that the line is dashed, means the inequality will be of the form ...

y > ( ) . . . . . . the solution set is y-values greater than those on the line

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There are two choices in this form. You can see which one will include the point (-3, 1) on the boundary line:

y > 3/2x +3

y > (3/2)(-3) +3 = -3/2 . . . . . not 1. This is not the correct inequality

y > 2/3x +3

y > (2/3)(-3) +3 = 1 . . . . . . . the inequality we're looking for