121k views
1 vote
Compare the linear functions expressed by the equation, y = –x + 3, and by data in the table.

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 1, 3. Column 2 is labeled y with entries 1, negative 1, negative 4, negative 6.

Explain how to determine if these two are the same function expressed in different ways

User Damjad
by
7.9k points

1 Answer

5 votes

Answer:

The slope formula is y2 - y1/x2 - x1.

Explanation:

First plug in x = 1, x = 2, and x = 3 in to the equation y = 4x to find the first 3 points(Like the first three are shown for the table.) which are (1, 4), (2, 8), and (3, 12).

The slope of the table would be 9 - 3/3 - 1, after subtracting you get 6/2. You would then divide 6 by 2, which gives you 3. 3 is the slope of the table.

The slope of the equation goes through the same process. 12 - 4/3 - 1, after subtracting it's 8/2, and after dividing you get 4. The slope of the equation is 4.

This means the equation has the greater slope.

User JamesT
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.