Question

Consider the linear function that is represented by the equation y=4x+5 and the linear function that is represented by the table below.

x y

2 16

4 26

6 36

8 46

Which statement is correct regarding their slopes and y-intercepts?



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Answer 1

The linear function represented by the equation y = 4x + 5 has a slope of 4 and a y-intercept of 5. The function represented by the given table has a slope of 5 and a y-intercept of 6. Therefore, they have different slopes and different y-intercepts.

Step-by-step explanation:

The linear function represented by the equation y = 4x + 5 has a slope of 4 and a y-intercept of 5. The slope of 4 means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 4. The y-intercept of 5 means that the line crosses the y-axis at the point (0, 5).

Looking at the table, the linear function represented by the given points has a slope of 5 and a y-intercept of 6. So the correct statement regarding their slopes and y-intercepts is that they have different slopes and different y-intercepts.

Answer 2

D) The function that is represented by the table has a steeper slope and a greater y-intercept.

Step-by-step explanation:

I just took the quiz on edge