Question

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

Answer 1

Answer: x and y have the same absolute value. Also, x is a positive number, and y is a negative number.

Explanation:

Answer 2

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, m=2.

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

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.