1 / 11

Graph linear functions

b. a. y = x + 3. y = 2 x. a. EXAMPLE 1. Graph linear functions. Graph the equation. Compare the graph with the graph of y = x. SOLUTION. The graphs of y = 2 x and y = x both have a y - intercept of 0 , but the graph of y = 2 x has a slope of 2 instead of 1. b.

clark
Download Presentation

Graph linear functions

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. b. a. y = x + 3 y = 2x a. EXAMPLE 1 Graph linear functions Graph the equation. Compare the graph with the graph of y = x. SOLUTION The graphs ofy = 2x andy = x both have a y-intercept of 0, but the graph ofy = 2x has a slope of2 instead of 1.

  2. b. EXAMPLE 1 Graph linear functions The graphs ofy = x + 3 and y = x both have a slope of 1, but the graph ofy = x + 3has a y-intercept of 3 instead of 0.

  3. Graph y = –x – 1. 2 3 EXAMPLE 2 Graph an equation in slope-intercept form SOLUTION STEP 1 The equation is already in slope-intercept form. STEP 2 Identify the y-intercept. The y-intercept is –1, so plot the point (0, –1) where the line crosses the y-axis.

  4. 2 3 – 2 Identify the slope. The slope is –, or , so plot a second point on the line by starting at (0, –1) and then moving down 2 units and right 3 units. The second point is (3, –3). 3 EXAMPLE 2 Graph an equation in slope-intercept form STEP 3

  5. EXAMPLE 2 Graph an equation in slope-intercept form STEP 4 Draw a line through the two points.

  6. 1. y = –2x for Examples 1 and 2 GUIDED PRACTICE Graph the equation. Compare the graph with the graph of y = x. SOLUTION The graphs ofy =–2x andy = x both have a y-intercept of 0, but the graph ofy = –2x has a slope of–2instead of 1.

  7. 2. y = x – 2 for Examples 1 and 2 GUIDED PRACTICE Graph the equation. Compare the graph with the graph of y = x. SOLUTION The graphs ofy = x – 2 and y = x both have a slope of 1, but the graph ofy = x – 2has a y-intercept of –2instead of 0.

  8. 3. y = 4x for Examples 1 and 2 GUIDED PRACTICE Graph the equation. Compare the graph with the graph of y = x. SOLUTION The graphs ofy = 4x andy = x both have a y-intercept of 0, but the graph ofy = 4x has a slope of4 instead of 1.

  9. 2 5 5. y = x + 4 for Examples 1 and 2 GUIDED PRACTICE Graph the equation 4. y = –x + 2

  10. 1 2 6. y = x – 3 for Examples 1 and 2 GUIDED PRACTICE Graph the equation 7. y = 5 + x

  11. for Examples 1 and 2 GUIDED PRACTICE Graph the equation 8. f (x) = 1 – 3x 9. f (x) = 10 – x

More Related