slope of a line and slope intercept form · the slope of a line in a coordinate plane is a number...

Slope of a Line and

Slope Intercept Form

SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slip-Intercept Form.

Warm Up:

SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.

HW ANSWERS:



12x + 2y = 126 3x + 2y = 36 -

9x = 90

x = 10

12(10) + 2y = 126

2y = 6

y = 3

The slope of a line in a coordinate plane is a number that describes the steepness of the line. Any two points on a line can be used to determine the slope.


The slope “m” of a line passing through points (x1, y1) and (x2,y2) is the ratio of the rise over the run.



Case IV:


Example 1: Calculating the Slope from a set of points.

Practice 1:


Practice 2: Find the slope of the line below:

1

-7

1 -7


𝟏

−𝟕= −

𝟏

𝟕

SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slip-Intercept Form. Example 2: Graphing by using slope and y-intercept.

𝟑

𝟒

-2


Example 3: Horizontal and Vertical Lines. Point = (a, b)

Example 3: Horizontal and Vertical Lines.


y = -4

x = 2

Example 5: Writing Equations of Lines and Grpahs.


Example 6: Identifying Slope and Y-Intercept from Linear Equations

3x + 2y = 4

2

2y = -3x + 4

-3x =-3x

2 2

y = −𝟑

𝟐𝒙 + 𝟐


3x + 2y = 4

m = −𝟑

𝟐; 𝒃 = 𝟐

Practice:

4x - 2y = 14


4x - 2y = 14

-2

-2y = -4x + 14

-4x =-4x

-2 -2

y = 𝟐𝐱 − 𝟕

m = 𝟐; 𝒃 = −𝟕

slope of a line and slope intercept form · the slope of a line in a coordinate plane is a number...

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