Hello!
Slope intercept form is y = mx + b
m is the slope
b is the y-intercept
To turn the equation into the base form we have to get y by itself
-6y = -2x + 24
Divide both sides by -6
Simplify
To get the y-intercept we put 0 in for the x point and b for the y point
The y-intercept is (0, -4)
The slope is 1/3 which means every time x goes up by 3 the y goes up by 1
Other points are (3, -3) (6, -2) and (9, -1)
With 3 or more points we can plot a graph
Hope this Helps!
we know that
the formula to calculate the slope between two points is equal to
in this problem we have
substitute the values in the formula
therefore
<u>the answer is the option</u>
Answer:
The answer is below
Step-by-step explanation:
A function show the relationship between an independent variable and a dependent variable. The independent variable (input) does not depend on other variables while the dependent variable (output) depend on other variables.
In this question, amount of water in tank is dependent variable and the time taken is the independent variable. Let y represent amount of water in tank and x represent the time it has been draining. Therefore:
a) This can be represented by the equation:
y = 450 - 20x
At 7 minutes (x = 7)
y = 450 - 20(7)
y = 310 gallons
b) For 200 gallons (y = 200), the time taken is:
200 = 450 - 20x
200 - 450 = -20x
-20x = -250
x = -250/-20
x = 12.5 minutes
c) y = 450 - 20x
d) The graph was plotted using geogebra onling graphing calculator.
e) When the tank is empty, y = 0, hence
0 = 450 - 20x
20x = 450
x = 450 / 20
x = 22.5 minutes
