Question

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded. Which linear inequality is represented by the graph? y < 3x + 2 y > 3x + 2 y < One-thirdx + 2 y > One-thirdx + 2

Answer 1

B)y > 3x +2

Explanation:

Answer 2

`y>3x+2`

Explanation:

1) Find the slope, between (0,2) and (-3,-7) and then the linear parameter.

`m=(y_(2)-y_(1))/(x_(2)-x_(2))\Rightarrow m=(2+7)/(0+3)\Rightarrow m=3\left \{ 2=0(3)+b \right.\Rightarrow b=2`

2)Since it is a dashed line and the question says, everything to the left... then y > 3x+2. Rearranging it:

`y=3x+2\Rightarrow y>3x-2`