Step by step
The question
Question: which starts higher: function A, y = 4x + 1, or function B, y = x + 6?
A: y = 4x + 1
= B: y = x + 6
The start value is y when x is 0.
The bigger one starts higher.
starts higher = bigger start value
1 Start value of A
In y = m x plus b, b is the number added: 1.
= y = 4x + 1: b = 1
2 Start value of B
In y = m x plus b, b is the number added: 6.
= y = x + 6: b = 6
3 Compare
6 is bigger.
So function B starts higher.
= 1 < 6 → B starts higher
Careful!
Function A grows faster.
But it starts lower.
Careful: the faster one is not the higher start
4 Check
Let's check: both lines on one grid.
Line B crosses the y-axis higher.
So the answer is right!
Let's look back.
First: start value of A.
Then: start value of B.
Then: compare.
Last: check.
Answer
Careful: the faster one is not the higher start