Slope = -6; passing through (-4,1)
1 answer:
If you need to form the equation for this line, we should first understand Slope Intercept Form (SIF). SIF is y=mx+b where m is our slope and b is our y-intercept (the value of y when x=0).
We already know our slope, so at this point the equation is y=-6x+b. Now we must find our y-intercept, which we can do by plotting the given point and following the slope, which shows up our slope is -23. This means our final equation is y=-6x-23.
Below, I have attached a graph to help you visualize this. Please note that each box is 2 units. The highlighted area represents the y-intercept, while the blue circle represents our original given point. The green dots show our slope.
We already know our slope, so at this point the equation is y=-6x+b. Now we must find our y-intercept, which we can do by plotting the given point and following the slope, which shows up our slope is -23. This means our final equation is y=-6x-23.
Below, I have attached a graph to help you visualize this. Please note that each box is 2 units. The highlighted area represents the y-intercept, while the blue circle represents our original given point. The green dots show our slope.
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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
