Question

HELPPPPPPP ASAPPPPP PLEASEEE

Answer 1

Answer:

See the attached image below for the table

In column 1 we have the x values 0, 4, 8, 12

In column 2, we have the y values 1, 2, 3, 4

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Explanation:

We can start with any x value we want. I find that 0 is easiest to work with, so why not start at x = 0. For the sake of not repeating, I'll use y = 1 as the start value for y.

The first row of the table is x = 0 and y = 1.

A slope of 1/4 means rise/run = 1/4. So rise = 1 and run = 4.

A rise of 1 indicates y goes up by 1. A run of 4 means x increases by 4.

So put together, slope = 1/4 means each time x goes up by 4, y goes up by 1.

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If we started at x = 0, then going up by 4 leads to x = 4. If y starts at y = 1, then going up by 1 leads to y = 2.

The second row of the table is x = 4 and y = 2

We'll repeat the pattern of "add 4 to x, add 1 to y" getting the third row having x = 8 and y = 3

We can repeat as many times as we want. Doing another "up 1, over to the right 4" movement lands us on (x,y) = (12, 4)

The completed table is shown below in the attached image.

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If you were to use the slope formula with any two rows of the table, then you should get m = 1/4

Let's do the first two rows

m = (y2-y1)/(x2-x1)

m = (2-1)/(4-0)

m = 1/4

I'll let you check the other pairs of rows.