Question

Help! ( i'll give brainlisy ) if you don't know the answer then don't type a "answer" and no sending links please.

Answer 1

Answer: Linear

The equation is y = 2x-5

Slope = 2

y intercept = -5

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Explanation:

Each time x goes up by 1, y increases by 2. This directly leads to a linear equation due to the same rate of change no matter where you are in the table.

The slope is rise/run = 2/1 = 2 because "y increases by 2 each time x increases by 1".

We could use the slope formula to see this. Pick on any two rows to plug in the coordinates. I'll use the last two rows

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

m = (3-1)/(4-3)

m = 2/1

m = 2

This confirms the slope is 2.

The positive slope means that the line goes uphill as you move from left to right.

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The y intercept is b = -5 because the y intercept always happens when x = 0. This applies to any function, whether it's linear or not.

Together with m = 2 as the slope and b = -5 as the y intercept, we go from y = mx+b to y = 2x-5 as our linear equation

As a way to check, plug in something like x = 1 to find that...

y = 2x-5

y = 2*1-5

y = 2-5

y = -3

The table shows that x = 1 and y = -3 pair up together in the same row, so that confirms x = 1. I'll let you verify the other x values.