Which starts higher: the line through (1, 5) and (2, 8) or y = 4x + 3

Step by step, with the reason for every step · Compare two functions · Algebra 1

Step by step

Question: which starts higher: function A, line through (1, 5) and (2, 8), or function B, y = 4x + 3?

A: line through (1, 5) and (2, 8)

= B: y = 4x + 3

The start value is y when x is 0.

The bigger one starts higher.

starts higher = bigger start value

Going back to x = 0: the start value is 2.

= b = 2

In y = m x plus b, b is the number added: 3.

= y = 4x + 3: b = 3

3 is bigger.

So function B starts higher.

= 2 < 3 → B starts higher

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

= 2 < 3 → B starts higher

Try this one yourself, then check:

A: line through (0, 2) and (2, 6)

Show the answer

B starts higher