I solved the inequality and now I have to graph and shade it in.
Y<-5x-6
0<-5x-6
I used the test point 0,0 and substituted in y but how do I know if it's true or false?
go to wolframalpha.com and type in
plot y < -5x-6
the equation y = -5x-6 is a line
you want the whole area where y is less than that: below the line.
If you subbed in (0,0) you get 0 < -6 which is false. (You have to sub in both x and y, not just y!)
To determine if the point (0,0) satisfies the inequality y < -5x - 6, you can substitute the x- and y- values of the point into the inequality and see if it holds true or false.
Let's substitute x = 0 and y = 0 into the inequality:
0 < -5(0) - 6
Simplifying this expression:
0 < -6
Since 0 is not less than -6, the inequality is not satisfied, which means that the point (0,0) is not a solution to the inequality y < -5x - 6.
To graph and shade the inequality y < -5x - 6, you can follow these steps:
1. First, graph the line y = -5x - 6 as a dotted line. To do this, start by plotting the y-intercept, which is (0, -6). Then, find another point on the line by using the slope. The slope of the line is -5, which means that if you move 1 unit to the right, you move 5 units down. So, plot another point on the line at (1, -11). Connect the two points using a dotted line.
2. Next, since the inequality is y < -5x - 6, you need to shade the area below the line (because y is less than the expression -5x - 6).
3. To shade the region, select a test point that is not on the line. Conveniently, you have already chosen (0,0) as your test point. Since this point is not a solution to the inequality, shade the region below the line.
By following these steps, you will have graphed and shaded the inequality y < -5x - 6 correctly.