Download presentation

Presentation is loading. Please wait.

Published byRiley Rankin Modified over 4 years ago

1
M. Pickens 2006 Intercepts

2
M. Pickens 2006 Objectives To learn what intercepts are To learn how to find x and y-intercepts of a graph To learn how to find x and y-intercepts of an equation To use x and y-intercepts to sketch a graph

3
M. Pickens 2006 What are intercepts? An intercept is where something intersects or touches For example, an x-intercept is where it touches the x-axis a y-intercept is where it touches the y-axis

4
M. Pickens 2006 Intercepts of a Graph What are the x- intercept and y- intercept of the graph at right? X-intercept: Y-intercept: Where it touches the x-axis x (5, 0) Where it touches the y-axis y (0, 7)

5
M. Pickens 2006 Intercepts of a Graph What are the x- intercept and y- intercept of the graph at right? X-intercept: Y-intercept: Where it touches the x-axis x (-8, 0) Where it touches the y-axis y (0, 6)

6
M. Pickens 2006 Intercepts of a Graph What are the x and y-intercepts of the graphs below? X-intercept: Y-intercept: X-intercept: Y-intercept: (3, 0) (0, -8) (-9, 0) (0, -5) Notice: For all the x-intercepts the y-coordinate is ____ For all the y-intercepts the x-coordinate is ____ 0 0

7
M. Pickens 2006 Which are which? Which of the coordinates below are x-intercepts? Which of the coordinates below are y-intercepts? R(3, 5)S(0, 9)T(-2, 0)U(0, 1)V(15, 0) W(0, 0) X( ½, 0) Y(0, 8)Z(1, 0.5) T, V, W, X S, U, W, Y

8
M. Pickens 2006 Intercepts of an Equation We know for an x-intercept the ______________ is 0 In the y-intercept the ___________ is 0 We can use this to solve equations. To solve for an x-intercept plug in a 0 for y. To solve for a y-intercept plug in a 0 for x. Y-coordinate x-coordinate

9
M. Pickens 2006 Intercepts of an Equation Find the x and y-intercepts of the equation -2x + 3y = 19 To find the x-intercept plug in 0 for _____ y -2x + 3y = 19 -2x + 3(0) = 19 -2x + 0 = 19 -2x = 19 -2 x = -9.5( -9.5, 0) To find the y-intercept plug in 0 for _____ x -2x + 3y = 19 -2(0) + 3y = 19 0 + 3y = 19 3y = 19 3 y = 6.3( 0, 6.3)

10
M. Pickens 2006 Intercepts of an Equation Find the x and y-intercepts of the equation To find the x-intercept plug in 0 for _____ y - 16 -16 5* *5 -80=-4x x = 20(20, 0) To find the y-intercept plug in 0 for _____ x y = 16(0, 16)

11
M. Pickens 2006 Sketching a Graph from Intercepts Find the intercept of the equation 3x + y =12 and sketch the graph X-intercept: (Plug in 0 for y) 3x + 0 = 12 3x = 12 x = 4 (4, 0) Y-intercept: (Plug in 0 for x) 3(0) + y = 12 0 + y = 12 y = 12 (0, 12)

12
M. Pickens 2006 Sketching a Graph from Intercepts Find the intercept of the equation and sketch the graph X-intercept: (Plug in 0 for y) x = 6 (6, 0) Y-intercept: (Plug in 0 for x) y = 0 – 3 y = -3 (0, -3) + 3 +3 2* *2

13
M. Pickens 2006 Slope Intercept Form Notice when an equation is in slope intercept form ( y = mx + b) the b is always the y intercept Examples: Y= 5x + 8, 8 is the y-intercept What is the y-intercept in the equation Y= 1/4x + 3 ?

14
M. Pickens 2006 Conclusion Intercept is : _____________________ The x-intercept is _________________ The y-intercept is _________________ To find the x-intercept of an equation ____________________ To find the y-intercept of an equation ____________________ Where something intersects or touches Where it touches the x-axis Where it touches the y-axis Plug in 0 for Y Plug in 0 for X

15
M. Pickens 2006 Knowing how to find y-intercept and slope answer this question… Which of the following equations best represents the line in the graph shown below? A. y = 2x + 3 B. y = 3x + 2 C. y = 2x 3 D. y = 3x 2

16
M. Pickens 2006 The coordinate grid below shows the graphs of two lines: line l and line m. A.A. The slope of line l is greater than the slope of line m. B.B. The x-intercept of line m is greater than the x-intercept of line l. C.C. The y-intercept of line m is greater than the y-intercept of line l. D.D. The slope of line m is greater than the slope of line l. Which of the following is a true statement about the relationship between line l and line m?

17
M. Pickens 2006 Which graph below best represents y = 3x + 4?

Similar presentations

Presentation is loading. Please wait....

OK

Finding x- and y-intercepts algebraically

Finding x- and y-intercepts algebraically

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on unique identification system Ppt on brand management by keller File type ppt on cybercrime virus Company profile free download ppt on pollution Ppt on water our lifeline usa Ppt on musical instruments in hindi Ppt on business environment nature concept and significance Ppt on instrument landing system manufacturer Free ppt on personality development presentation Ppt on save water free download