The slope is 3 or 3/1 and the Y intercept is 0 or (0,0) because in y=mx+b, is it the slope (3) and b is the y intercept (0)
Answer:
24 - X = 10
Step-by-step explanation:
Given that Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left, in order to determine the equation that represents this situation, the following reasoning has to be made:
Since the bottle has 24 ounces of liquid, that is its initial content, from which an amount X is subtracted, after which 10 ounces of water remain. That is, 24 - X = 10.
Thus, this equation is solved in the following way:
24 - X = 10
24 = 10 + X
24 - 10 = X
14 = X
First I chose two points on the line that fall on 2 intervals or 2 lines. Then if found the slope of the two points. Using the slope and one of the points I pugged the numbers into an equation to solve for b. Once I found b I wrote an equation using b and the slope.
y=-2/3+300
steps:
(250,200)(300,100)
100-200/300-150
-100/150 or -2/3
100=-2/3(300)+b
100=-200+b
300=b
y=-2/3b+300
True, because of the Triangle Inequality Theorem.
To test if you could construct a triangle, make sure the following inequalities are true.
9 + 4 > 11
9 + 11 > 4
4 + 11 > 9.
