Question

Consider 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

D

Explanation:

Answer 2

Information get from table, when
X=2, y=16
X=4 , y=26
Use these two get the y-intercept point and gradient.
Y-intercept =6
Gradient =5


According to the function equation,
Gradient = 4
Y-intercept = 5

Hence the table show has steeper slope and greater y-intercept

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