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Need answer as soon as possible please..-example-1

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Answer:

y = 2/3x +5

Explanation:

You want the linear function relating y to x, given (x, y) = (-3, 3) and (0, 5).

Slope

The slope of the line through the given points can be found using the formula ...

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

m = (5 -3)/(0 -(-3)) = 2/3

Intercept

The y-intercept of the line is the value of y when x=0. This value is 5, as given by the second point in the table.

Slope-intercept equation

The slope-intercept equation of a line is ...

y = mx +b . . . . . m is the slope; b is the y-intercept

Using the values we found above, the function is ...

y = 2/3x + 5

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