1 / 11

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.

amullen
Download Presentation

Quick Graphing Using Slope-Intercept Form

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 4.5 Quick Graphing Using Slope-Intercept Form

  2. 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

  3. 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

  4. 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.

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

  6. 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.

  7. Graph the line y = 2/5x + 2The 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 2 3 4 5 6 -1 -1 -2 -3 -4

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

  9. 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.

  10. 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.

  11. y = -x + 6 y = -x + 2

More Related