Algebra 4.2 Graphing Equations of Lines. Slope-Intercept Form y = mx + b slope y-intercept where the line crosses the y axis rise run.

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Presentation transcript:

Algebra 4.2 Graphing Equations of Lines

Slope-Intercept Form y = mx + b slope y-intercept where the line crosses the y axis rise run

The y - intercept (b) is the point where the line crosses the y axis. For example: In the equation y = 2x – 5 Y - intercept The y-intercept is -5 So the line crosses the y-axis at the point (0, -5)

The slope (m) is a number that describes the whether the line goes uphill or downhill. Positive slope UPHILL line Negative slope DOWNHILL line For example, in the equation y = 2x - 5 Slope The slope is positive 2 The line is uphill

The slope (m) also describes the steepness of the line as the ratio RISE. RUN For example, in the equation y = 2x - 5 Slope The slope is 2 so the line RISES2 from point to point RUNS1

Slope and y - intercept Equation Slope rise run Uphill or downhill Y = 3x - 2 Y = - 1 x Y = 3 x Y = - 5 x – Uphill Downhill Uphill Downhill y - intercept

You have previously graphed using an X/Y Table.

x y y = 2x (2,7). (0,3). (1,5). (-1,1) x y This is the graph of the equation y = 2x + 3

Today you will learn an easy method of graphing that uses only the y-intercept (b) and the slope (m).

Graphing the y-intercept y = 2x + 3. (0,3) x y The y intercept of the line is 3. Plot the point (0,3) on the y axis.

Using the slope to find more points y = 2x + 3. (0,3). (1,5) x y The slope of the line is 2 or From the point (0,3) use the graph paper to: rise 2 (go up by 2) and run 1 (go right by 1). This takes you to the point (1,5) rise 2 run 1 Rise 2 Run 1

Using the slope to find more points. (0,3). (1,5) x y From the point (1,5) use the graph paper to: rise 2 (go up by 2) and run 1 (go right by 1). This takes you to the point (2,7) rise 2 run 1. (2,7) Rise 2 Run 1

. (0,3). (1,5) x y. (2,7) Connect the three points to graph the line y = 2x + 3

Graphing the Equation for a Line STEPS 1.Get the equation in Slope-Intercept Form y = mx + b Isolate the yslope y-intercept

Graphing the Equation for a Line STEPS 2.Plot the y-intercept 3.Use the slope to plot at least two more points (rise, run, plot…..repeat) 4.Connect the points as a line 5.Test a point

Now try graphing some equations of your own using a graphing website

Homework Go srvhs.org and link to my website Find the link for the Algebra “Graphing Lines Using Slope- Intercept Form” Assignment Graph 30 lines. Print out your final graph. Keep a tally and have your parent sign off on the sheet that you graphed 30 lines using the animated software.