Question

onsider the linear function that is represented by the equation y = 4 x + 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?
The function that is represented by the equation has a steeper slope and a greater y-intercept.
The function that is represented by the equation has a steeper slope, and the function that is represented by the table has a greater y-intercept.
The function that is represented by the table has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
The function that is represented by the table has a steeper slope and a greater y-intercept.

Answer 1

From y = 4x + 5: slope = 4, y-intercept = 5.

From the table: slope = (26−16)/(4−2) = 10/2 = 5, y-intercept = 16 − 5·2 = 6.

So the table's function has the steeper slope (5 > 4) and the greater y-intercept (6 > 5).