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Can someone solve this for me

Can someone solve this for me-example-1

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4 votes

Answer:

y = 3x - 1

Explanation:

y = mx + b

To write the equation we need to find the m (slope) and the b (y-intercept)

The chart shows:

x: -2, -1, 2, 3

y: -7, -4,5,8

The y is changing by:

3: -4 - (-7)

9: 5 - (-4)

3: 8-5

The x is changing by:

1: -1 - (-2)

3: 2 - (-1)

1: 3-2

The slope is the change in y over the change in x

3/1 = 3

9/3 = 3

3/1 = 3

We see that the slope (m) is the constant rate of change 3.

The y-intercept is the point (0,b). We need to find what y is when x equals 0. We can modify our chart to find when x = 0

x: -2, -1, 0, 1, 2, 3

y: -7, -4, -1, 2, 5, 8

As x increases by 1, y increases by 3 so the point (0,b) would be (0,-1). The b value (y-intercept) is -1.

Plug in 3 for m (slope) and -1 for b (y-intercept)

y = mx + b

y = 3x -1

User Rangalo
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