Answer:
Option 3
Step-by-step explanation:
Given : Linear inequality
To find : Which is the graph of linear inequality ?
Solution :
Linear inequality
First we figure out the slopes and coordinates through which it pass.
The linear equation is
The general slope form of line is
Where, m is the slope and c is the y-coordinate
Re-write the equation
On compare,
Slope is positive
The y-coordinate is (0,-1)
For x-coordinate put y=0,
The x-coordinate is (2,0).
Now, Plotting the linear inequality and mark the point (-4,-3).
Refer the attached figure below.
We get, On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
Therefore, Option 3 is correct.