Question

A friend gives you four baseball cards for your birthday. Afterward, you begin collecting them. You buy the same number of cards once each week. The equation y = 2x + 4 describes the number of cards, y, you have after x weeks.

Part 1 out of 3

Find and interpret the slope and the y−intercept of the line that represents this situation.



The slope is

, while the y−intercept is

. This equation represents starting with

cards and adding

cards each week.

Answer 1

The slope is 2, while the y-intercept is 4. This equation represents starting with 4 cards and adding 2 cards each week.

Explanation:

Given the equation which describes the number of cards, y, you have after x weeks: y=2x+4

Comparing this with the slope intercept form of the equation of the line: y=mx+b, where:

• m is the slope
• b is the y-intercept.

We have that:

Slope

Slope, m=2.

A slope of 2 indicates that you buy 2 cards per week.

The y-intercept

The y-intercept of the line, b=4.

This is the starting value. In this case, it represents the number of cards you were given by your friend.

The slope is 2, while the y-intercept is 4. This equation represents starting with 4 cards and adding 2 cards each week.