Answer and Step-by-step explanation:
First step we can do is find the slope of the line.
To find the slope, use the following equation:
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
(2, 0) will be the ([tex]x_{2}, y_{2}[/tex]) set, and (0, 4) will be the ([tex]x_2, x_1[/tex]) set.
[tex]\frac{0 - 4}{2 - 0} = \frac{-4}{2} = -2[/tex]
The slope of the line is -2.
Don't worry about the inequality part yet, make it look like an equation because you'll be more familiar with it.
y = -2x + b (b is the y-intercept)
The y-intercept is the point where the lines intersects with the y-axis. this y-value is 4.
y = -2x + 4 -- That is the equation of the line.
We see that all values make the inequality true is on the left side of this line. This means that the sign to replace the = sign with is >=, in which the values of y are less than what is plugged in and evaluated for x.
y <= -2x + 4
That is the inequality equation.
(You can also use Desmos. com to help with the plotting of the inequality equations and graphs)
#teamtrees #PAW (Plant And Water)
