The lines shown below are parallel. If the green line has a slope of -3/7, what is

Mathematics

1 answer:

BartSMP [9]2 years ago

7 0

Answer: the slope of green line = $-\frac37$

Step-by-step explanation:

We know that,

If two lines are parallel then their slopes(rate of change of y with respect to x) are equal.

Given: The red line and the green line are parallel.

The slope of red line = $-\frac37$

Then, the slope of green line = $-\frac37$ [Slopes of two parallel lines are equal]

Hence, the slope of green line = $-\frac37$

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Can someone graph this? I'll give brainliest.

vodomira [7]

It's nice of you to offer, but no thanks.

To correctly graph this, you need to set up a simple equation and table of values. Luckily, this equation is dead-simple; I'll define y as the total cost and x as the number of water bottles sold.

$y=1.5x$

Since 1.50$ is the cost for one bottle, multiplying that with your variable that defined the amount of bottles, x, gets you the total, y. Now that we have a basic equation, we can begin plugging in values.

Recall that a function is basically just something that takes in a value and returns another one; in our case, it takes the amount of bottles and returns the total cost. Now, plug in the x-values present on the graph (specifically only whole numbers, since you can't have a half bottle). I can't make a proper table but I'll make do.

x y

--------

0 0

1 1.5

2 3

3 4.5

4 6

5 7.5

-----------

Great, now that you have a table of values all you have to do is plug them into the graph, which I've attached. It's pretty crude since I drew it in mspaint but I'm sure you get the point at this point.