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.

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

Step-by-step 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:

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.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: