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A table of values of a linear function is shown below.x −2 −1 0 1 2y −14 −10 −6 −2 2Find the y-intercept and slope of the function's graph, and find the equation for the function.y-intercept: slope: equation:

Question

A table of values of a linear function is shown below.x −2 −1 0 1 2y −14 −10 −6 −2 2Find the y-intercept and slope of the function's graph, and find the equation for the function.y-intercept: slope: equation:

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Solution

To find the y-intercept and slope of the function's graph, we first need to understand what these terms mean.

The y-intercept is the point where the line crosses the y-axis. This is the value of y when x = 0. Looking at the table, we can see that when x = 0, y = -6. So, the y-intercept is -6.

The slope of a line is the change in y divided by the change in x. Looking at the table, we can see that when x increases by 1 (from -2 to -1, from -1 to 0, etc.), y increases by 4 (from -14 to -10, from -10 to -6, etc.). So, the slope is 4/1 = 4.

Finally, the equation of a line is usually written in the form y = mx + b, where m is the slope and b is the y-intercept. Substituting our values in, we get y = 4x - 6.

So, the y-intercept is -6, the slope is 4, and the equation of the function is y = 4x - 6.

This problem has been solved

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