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8-3 & 8-4: Graphing Linear Functions

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8-3 & 8-4: Graphing Linear Functions

Mr. Gallo

- Linear Function:
- The graph of this function is a____________ _______.

- Graphs of the form y = mx

line

straight

- Example 1: Given the point A (3, 6), find the equation of the line that passes through A and the origin.

3

What is the slope of the line?

______________________What could you multiply by 3 to get 6?

_______________________The equation of the line is:

y= x

6

- Example 2-Given the point B (9, 3), find the equation of the line that passes through B and the origin.

What is the slope of the line?

______________________

What could you multiply by 9 to get 3?

______________________

The equation of the line is:

y = x

9

3

- The equation of line in the slope-intercept form:
- represents the _________.
- represents the _______________.
- y-intercept is where the line crosses the y-axis

slope

y -intercept

Example 3 - Graph the equation

What is the y-intercept?

_______

What is the slope? ______

Example 4 - Graph the equation

What is the y-intercept?

______

What is the slope? ______

How are the graphs alike?

________________________________________________________________________

They have the same slopes.

Parallel lines

How are they different?

____________________________________________________________________

They have different y –intercepts.

Example 5- Find the equation of the line with a y-intercept of 1 and a slope 3.

Equation: _____________

Example 6- Find the equation of the line passing through (0, 6) and with slope −4.

Slope: _________.

Substitute Point:

Equation: _____________

Example 7: Find the equation for the line passing through (3, −4) and (9, 0).

Slope: _________.

Substitute Point:

Equation: _____________