The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −15 0 −10 1 −5 g(x) g(x) = 2x + 8 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). part b: which function has a greater y-intercept? justify your answer.

Step-by-step explanation:

If you want to compare the 2 slopes, you first have to know what they are.  From the table we can find it by plugging in some numbers to the slope formula and doing the math on it:

which gives us a slope of 5.

From the equation, which is in y = mx + b form, m stands for slope.  The number in the m position is 2.  In a sentence:

The slope found in the values from the table, 5, is greater than the slope found in the linear equation, 2.

Part B:  The y-intercept exists where x = 0.  Looking at the values in the table, where x = 0, y = -10.  So the y-intercept of the line in the table is -10.  In y = mx + b, the linear equation, 8 = b, which is also the y-intercept.  So the y-intercept in the table is -10 and the y-intercept in the equation is 8.  The y-intercept is greater in the equation than in the table because 8 is greater than -10

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