 # Graphing Lines Day 0ne. Cover the concepts: Relation Function

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Graphing Lines Day 0ne. Cover the concepts: Relation Function
Domain and range 4 ways to represent a relation/function Graphical Symbolic Numeric Verbal Graphing Lines

How To Find THE SLOPE of a Line Given Two Points

Slope of a Line x y y2 x2 y1 x1

Slope of a Line Notice that this is the rate of change of y with respect to x. The units of the range variable go in the numerator and the units of the domain go in the denominator Now, how would this look in function notation?

Definition of Slope The slope of the line is it’s measure of steepness. It measures the rate of change of the line. In all lines the slope is constant, it doesn’t change no matter where you are at on the line.

Find the Slope of the line containing the points

Bicycles In groups, generate the line that relates the number of wheels to the number of bicycles. Represent it Graphically. What does the slope of this line represent? Is this a discrete or continuous function?

Graph of a Line x y -1 -5 -3 1 2 3 What do the red points represent?
-3 1 2 3 What do the red points represent? What does the line represent?

Intercepts Where the graph crosses the x-axis is the x-intercept. It has coordinates (a,0). Where the graph crosses the y-axis is the y-intercept. It has coordinates (0,b).

The x and y intercepts of a line
(0,b) x-intercept x (a,0)

Example Find the x and y intercepts of the line given by:

Slope Intercept Form Any stinking point on the line y y-intercept x

Determine the slope and y-intercept of the following

Point Slope Form Any stinking point on the line y
Any stinking fixed point on the line x

Find the Equation of the Line Through the Points

Line Formulas Slope Formula Slope Intercept Form Point Slope Form