Quick Graphing Using Slope-Intercept Form

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Presentation transcript:

Quick Graphing Using Slope-Intercept Form 4.5 Quick Graphing Using Slope-Intercept Form

What are the different methods we have used to graph a line? Plot points Make a table Find the x and y- intercepts Special horizontal and vertical lines

Slope-intercept form: linear equation y = mx+b m represents the slope of the line b represents the y-intercept *where the line crosses the y-axis

y = mx + b You can tell by looking at the equation not only where the line crosses y, but whether it has a positive or negative slope. If m is positive the slope is positive, and your line will go up from left to right. If m is negative, the slope is negative and your line will go down from left to right.

Determine what is the slope, y-intercept, and direction of each equation. Slope = 3 y-intercept = 4 goes up left to right Slope = ½ y-intercept = -9 goes up left to right Slope = -4/5 y-intercept = 7 goes down left to right Slope = -2 y-intercept = -4 goes down left to right y = 3x + 4 y = ½ x – 9 y = -4/5 x + 7 y = -2x - 4

What is the y- intercept? What direction will the line go? When your equation is not in slope intercept form, rewrite it into slope-intercept form (y=mx+b). 2x = 5y - 10 2x = 5y-10 -5y -5y 2x – 5y = -10 -2x -2x -5y = -2x – 10 -5 -5 -5 y = 2/5x + 2 What is the y- intercept? 2 What is the slope? 2/5 What direction will the line go? Up, from left to right.

Graph the line y = 2/5x + 2 The slope is 2/5 & the y-intercept is 2. Steps to graphing a line in slope intercept form: Plot the y-intercept. (0,2) Count up 2 over 5 and plot next point. Connect the dots. 4 3 2 1 -4 -3 -2 -1 -1 1 2 3 4 5 6 -2 -3 -4

Graph the line 2y = -2x + 6 Change to slope intercept form. y = -x + 3 Y-intercept (0, 3) Slope -1 Line will go down from left to right. 4 3 2 1 -4 -3 -2 -1 -1 1 2 3 4 5 6 -2 -3 -4

Special line: Parallel Lines: lines have the same slope, but different y-intercept (b value) y = 2x + 4 and y = 2x – 3 are parallel lines.

Graph y = -x+6 and y = -x+2 on the same graph. Notice that they each have the same slope of -1, but they cross y at different spots.

y = -x + 6 y = -x + 2