Hey there!
Three points to keep in mind!
- The given options are in standard form: ax+by=c
- The line is a solid line, hence, the possible outcomes would be ≤ or ≥
- The shaded part is above the line, hence, the symbol would be ≥
First, let's find the slope:
Slope : (y2-y1)/(x2-x1)
Slope : (0-3)/(2-0)
Slope : -3/2
Looking at line, we know that the y-intercept is 3 b=3
Slope intercept form:
y≥(-3/2)x+3
Let's now convert this into a standard form:
(3/2)x+y≥3
Multiplying all the sides with 2:
Remember that the coefficient of 'x' shall not be negative or a fraction!
3x+2y≥6 is the final answer!
