Common Core #12 Part 2 Tell me everything you know about the graph:

ANSWER(S) You could verbally express what is happening to the y-values as x increases, make a table based on the points plotted, write an equation to go with it. The equation of this line is y = -2x + 5

Common Core #12 Compare properties of two functions, each represented in a different way: (1) verbally (2) table (3) equation (4) graph

Using Graphs to Make a Table and Write an Equation Use the graph to make a table and to write an equation. y Make a Table First x y x

Using Graphs to Make a Table and Write an Equation Use the graph to make a table and to write an equation. y Make a Table First x y 2 1 4 6 3 8 x

Using Graphs to Make a Table and Write an Equation Use the graph to make a table and to write an equation. Each value of y is 2 times the value of x plus 2. 6 2 8 3 4 1 y x y y = 2x + 2 x

Using Graphs to Make a Table and Write an Equation Use the graph to make a table and to write an equation.

Using Graphs to Make a Table and Write an Equation Use the graph to make a table and to write an equation. x y 6 -1 3 -2 -3 y = 3x + 5

You write a problem Draw a line on the graph that will result in either a (1) fractional slope or (2) fractional y-intercept or both We will work some on the coordinate grid on the next slide. It is a 6 x 6 grid.

You write a problem

PRACTICE PROBLEM 1. Make a table and sketch the graph of w = –2x + 3. –2 –4 2 4 –1 2 –3 3 1 w x

PRACTICE PROBLEM 2. Use the table to sketch a graph and write an equation. y = –x x y –2 –4 2 4 -1 1 -2 2 y x

PRACTICE PROBLEM 3. Use the graph to make a table and to write an equation. y = 2x + 1 5 2 7 3 1 y x