Linear Equation Analysis printable pdf download

Linear Equation Analysis

Name______________________________

Algebra -- Linear Equation Analysis

** Use your graphing calculator to investigate each family of equations in slope-intercept form (y = mx + b).

** Graph the parent graph y = x in bold. Then sketch and label each equation. Compare to the parent graph.

** Answer the questions for each.

PART I.

Graph these lines one at a time so you can compare. Sketch and label the lines on the graph below. The

graph of y = x is already shown.

= x

= x + 8

= x – 4

= x + 3

Answer these questions:

1) How are the lines the same?

2) What is different about the lines?

3) Where does each line cross the y-axis?

4) What happens to the graph when a constant is added to y = x ?

5) Write an equation for a line similar to those above but crosses the y-axis at 5.

6) Write an equation for a line similar to those above but crosses the y-axis at -2.

PART II.

= x

= -x

Answer these questions:

1) How are the lines alike?

2) How are the lines different?

Linear Equation Analysis