Graphing Linear Equations
Solving by Graphing
Slope, Rate of Change, and Direct Variation
Arithmetic Sequences
Proportional and Nonproportional Relationships
100

The standard form of a linear equations

Ax+By=C

100

What is the parent function of the family of linear functions?

f(x)=x

100

What is the equation to find slope?

What is (y2-y1)/(x2-x1)

100

What does the d in the arithmetic sequence equation stand for?

 What is the common difference.

100

What are the requirements to be a proportional relationship?

Of the form y=kx, k does not equal 0, and goes through the origin (0,0)

200

What are the y and x intercepts?

The y-intercept is where the line crosses the y-axis and the x-intercept is where the line crosses the x-axis.

200

What are the two methods for solving a linear equation?

What are graphing and algebraically. 

200

What is the form for direct variation

What is f(x)=kx or y=kx

200

How do you determine if a sequence is arithmetic?

The common difference must be constant in the sequence for it to be arithmetic.

200

What does k represent in the equation y=kx?

k is the slope of the equation

300
How do you find the x and y intercepts?

On a graph, you look to where the line crosses the axis. In an equation, you set x=0 for the y-intercept and solve. You set y=0 for the x-intercept and solve.

300

How do you solve by graphing?

You create a table of values and plot the points.

300

How do you find if a table of values is a linear function?

You find the rate of change of the x-values and the y-values. If they are constant, the table is linear. 

300

What does the arithmetic sequence nth term sequence look like? (What's the formula)

an=a1+(n-1)d where d=common difference, a1=first term, an= the nth term, and n=number of the term

300

Is the picture on the board proportional? Explain

Yes, the slope is constant and the line goes through the origin

400

Find the intercepts of 2x+4y=16

x-intercept= 8 so the intercept is (8,0)

y-intercept= 4 so the intercept is (0,4)

400

When solving a linear function, what are you really finding?

What is the x-intercept.
400

What is the slope of a vertical line?

What is undefined

400

Find the next three terms of the sequence 0.02, 1.08, 2.14, 3.2,...

4.26,5.32,6.38

400

Write an equation from the graph on the board.

y=5/2x

500

How do you graph by a table?

You create a table of x values and find the y values. you then plot the points you find to form your graph. 
500

Solve 3x+1=-2

What is -1

500
Find the value of r so that the line through (r,-6) and (5,-8) has a slope of -8.

r=4.75

500

Write the arithmetic sequence for the following sequence: -11, -15, -19, -23,...

an=-4n-7

500

Write an equation for the second picture on the board.

y=-2x+2

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