WILL GIVE BRAINLIEST!!! How would you graph Y = -2X? Explain from beginning to end.

Mathematics

1 answer:

Vladimir79 [104]2 years ago

4 0

Step-by-step explanation:

Since there is no y-intercept, you start at the origin (0, 0)

The slope tells us that for every two units it goes down, it also goes one unit to the right

We know this because slope is rise/run (in this case -2/1) and the slope is negative, meaning that it starts higher up at the left and goes down towards the right.

To graph, start at (0, 0) and go down 2 units to get (0, -2) and then to the right one unit to get (1, -2)

That is the first point

Continue doing this

(1, -2) -> down 2 and to the right 1 -> (2, -4)

Alternatively, plug in values for x

y = -2(1) -> y=-2

When x=1, y=-2

And keep repeating until you get a good idea of what the line looks like

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sveticcg [70]

We want to check how many intersections line A and B have, that is, we want to check how many common solutions do these equations have:

i) 2x + 2y = 8

ii) x + y = 4

use equation ii) to write y in terms of x as : y=4-x,

substitute y =4-x in equation i):

2x + 2y = 8
2x + 2(4-x) = 8
2x+8-2x=8
8=8

this is always true, which means the equations have infinitely many common solutions.

Answer: There are infinitely many solutions.

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3 years ago

Katie bought 2 one gallon bottles for a party. Her guest drank 5/4 gallons of juice. What is the fraction of juice leftover? Sho

frosja888 [35]

Answer:

3/4 gallons of juice

Step-by-step explanation:

Katie bought 2 one-gallon bottles for a party.

2 one-gallon bottles = 2-gallon bottles of juice

We are told that:

Her guest drank 5/4 gallons of juice.

The fraction of juice leftover is calculated as: