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.
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 Slope-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:
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
HW ANSWERS:
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
12x + 2y = 126
- 3x + 2y = 36
9x = 90
 x = 10
12(10) + 2y = 126
2y = 6
 y = 3
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
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.
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
The slope “m” of a line passing through points (x1, y1)
and (x2,y2) is the ratio of the rise over the run.
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slip-Intercept Form.
Case IV:
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slip-Intercept Form.
Example 1: Calculating the Slope from a set of points.
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
Practice 1:
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
Practice 2: Find the slope of the line below:
1
-7
-7
1
𝟏
𝟏
=−
−𝟕
𝟕
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
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
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slip-Intercept Form.
Example 3: Horizontal and Vertical Lines.
Point = (a, b)
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
Example 3: Horizontal and Vertical Lines.
x = 2
y = -4
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
Example 5: Writing Equations of Lines and Grpahs.
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
Example 6: Identifying Slope and Y-Intercept from Linear Equations
3x + 2y = 4
3x + 2y = 4
-3x
=-3x
2y = -3x + 4
2
2
2
y =
m=
−𝟑
𝒙
𝟐
+𝟐
𝟑
− ;𝒃
𝟐
=𝟐
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
Practice:
4x - 2y = 14
4x - 2y = 14
-4x
=-4x
-2y = -4x + 14
-2 -2
-2
y = 𝟐𝐱 − 𝟕
m = 𝟐;
𝒃 = −𝟕
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.
SWBAT: Calculate the slope of a line using the slope formula. Write and
Graph a linear equation in Slope-Intercept Form.