Slope and Graphing

Slope and Graphing An ordered pair always represents a point.

Slope and Graphing An ordered pair always represents a point. An ordered pair is always in the form ( x , y )

Slope and Graphing An ordered pair always represents a point. An ordered pair is always in the form ( x , y ) You use the slope to see how much the line goes up and over.

Slope and Graphing An ordered pair always represents a point. An ordered pair is always in the form ( x , y ) You use the slope to see how much the line goes up and over. We refer to this as rise and run.

Slope and Graphing An ordered pair always represents a point. An ordered pair is always in the form ( x , y ) You use the slope to see how much the line goes up and over. We refer to this as rise and run. As a slope we say m = rise/run

Slope and Graphing An ordered pair always represents a point. An ordered pair is always in the form ( x , y ) You use the slope to see how much the line goes up and over. We refer to this as rise and run. As a slope we say m = rise/run We also refer to this as rise over run.

Graph the line that goes through (2,3) and has a slope of 4/1

Graph the line that goes through (0,0) and has a slope of 2/3

Graph the line that goes through (3,3) and has a slope of 5

Special Case Slopes: There are two special cases for slopes.

Special Case Slopes: There are two special cases for slopes. If the line is horizontal (meaning straight across) then there is a slope of zero.

Special Case Slopes: There are two special cases for slopes. If the line is horizontal (meaning straight across) then there is a slope of zero. If the line is vertical (meaning straight up) then there is an undefined slope.

Graph the line that has an undefined slope and passes through the point (2, 3)

Graph the line that has a slope of zero and passes through the point (2, 3)

Slope Intercept Form Slope intercept form represents any line (also called a “linear function”).

Slope Intercept Form Slope intercept form represents any line (also called a “linear function”). The basic linear function is called the “parent function”.

Slope Intercept Form Slope intercept form represents any line (also called a “linear function”). The basic linear function is called the “parent function”. The parent function has an equation y = x

Slope Intercept Form Slope intercept form represents any line (also called a “linear function”). The basic linear function is called the “parent function”. The parent function has an equation y = x Every linear function can be represented by the equation:

Special Cases: When there is no b, the y-intercept is zero.

Special Cases: When there is no b, the y-intercept is zero. When there is no m, the slope is 1/1