Slope-Intercept Form of a Line y = mx + b This is the slope-intercept form of a linear equation...

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Slope-Intercept Form of a Line y = mx + b This is the slope-intercept form of a linear equation where m = the slope of the line b = the y-intercept (0, b) Example y = 2x + 3

Transcript of Slope-Intercept Form of a Line y = mx + b This is the slope-intercept form of a linear equation...

Page 1: Slope-Intercept Form of a Line y = mx + b This is the slope-intercept form of a linear equation where m = the slope of the line b = the y-intercept (0,

Slope-Intercept Form of a Line

y = mx + bThis is the slope-intercept form of a linear equation

where

m = the slope of the lineb = the y-intercept (0, b)

Example

y = 2x + 3

Page 2: Slope-Intercept Form of a Line y = mx + b This is the slope-intercept form of a linear equation where m = the slope of the line b = the y-intercept (0,

Slope-Intercept Form of a Line

y = mx + bThis is the slope-intercept form of a linear equation

where

m = the slope of the lineb = the y-intercept (0, b)

Exampley = 3x – 4

The slope is 3. The y-intercept is –4 i.e. (0, -4).

Page 3: Slope-Intercept Form of a Line y = mx + b This is the slope-intercept form of a linear equation where m = the slope of the line b = the y-intercept (0,

Slope-Intercept Form of a Line

y = mx + bThis is the slope-intercept form of a linear equation

where

m = the slope of the lineb = the y-intercept (0, b)

Example 3 18 4

y x

The slope is 3.8

The y-intercept is 10, .4

Page 4: Slope-Intercept Form of a Line y = mx + b This is the slope-intercept form of a linear equation where m = the slope of the line b = the y-intercept (0,

Slope-Intercept Form of a Line

Page 5: Slope-Intercept Form of a Line y = mx + b This is the slope-intercept form of a linear equation where m = the slope of the line b = the y-intercept (0,

Slope-Intercept Form of a LineWrite the equation 3x + 4y = 8 in slope-intercept form.

Identify the slope and the y-intercept.

Page 6: Slope-Intercept Form of a Line y = mx + b This is the slope-intercept form of a linear equation where m = the slope of the line b = the y-intercept (0,

Slope-Intercept Form of a LineWrite the equation 6x + y = 1 in slope-intercept form.

Identify the slope and the y-intercept.

Page 7: Slope-Intercept Form of a Line y = mx + b This is the slope-intercept form of a linear equation where m = the slope of the line b = the y-intercept (0,

Slope-Intercept Form of a Line

Write the equation in slope-intercept form.

Identify the slope and the y-intercept.

Page 8: Slope-Intercept Form of a Line y = mx + b This is the slope-intercept form of a linear equation where m = the slope of the line b = the y-intercept (0,

Slope-Intercept Form of a LineWrite the equation –x – y – 6 = 1 in slope-intercept form.

Identify the slope and the y-intercept.

Page 9: Slope-Intercept Form of a Line y = mx + b This is the slope-intercept form of a linear equation where m = the slope of the line b = the y-intercept (0,

Slope-Intercept Form of a LineWrite the equation 3(x + y) = 9 in slope-intercept form.

Identify the slope and the y-intercept.

Page 10: Slope-Intercept Form of a Line y = mx + b This is the slope-intercept form of a linear equation where m = the slope of the line b = the y-intercept (0,

Slope-Intercept Form of a LineExample:Find the equation of the line with slope and

y-intercept (0, 5).

23

5)23

(y x

2 53

y x

23

m slope: 5by-intercept:

y mx b