Download presentation

1
**3.5 Lines in the Coordinate Plane**

Chapter 3: Parallel and Perpendicular Lines

2
**3.5 Lines in the Coordinate Plane**

Slope-Intercept Form: y = mx + b m: slope b: y-intercept (x, y): point

3
**Slope-Intercept Form Identify the slope and y-intercept for each:**

a. y = 3x b. y = -2x + 5 c. y = ½x – 5 d. y = 3x – ½ e. y = -5x – 4 f. y = 0.2x + 0.7

4
**Graphing Lines in Slope-Intercept Form**

Graph the line y = 3/4x + 2 m = b = Graph the line y = x + 2 m = b = Graph the line y = 3x + 4

5
**Graphing Lines in Slope-Intercept Form**

Graph the line y = -½x – 2 m = b = Graph the line y = ½x – 1 Graph the line y = -5/3 x + 2 m = b =

6
**Standard Form Ax + By = C (3x + 2y = 5)**

To Graph from Standard Form, find the x- and y- intercepts: To find the x-intercept, plug in 0 for y. To find the y-intercept, plug in 0 for x.

7
**Graphing Using Intercepts**

Graph 6x + 3y = 12 Find the x-intercept: Find the y-intercept:

8
**Graphing Using Intercepts**

Graph -2x + 4y = -8 Find the x-intercept: Find the y-intercept:

9
**Transforming to Slope-Intercept Form**

Graph 4x – 2y = 9, using slope-intercept form:

10
**Transforming to Slope-Intercept Form**

Graph -5x + y = -3, using slope-intercept form:

11
**Write each equation in slope-intercept form and graph the line:**

y = 2x + 1 y – 1 = x y + 2x =4 8x + 4y = 16 2x + 6y = 6 ¾x – ½y = 1/8

12
**Point-Slope Form y – y1 = m(x – x1)**

(1, 3) and slope 2: (y – 3) = 2(x – 1)

13
**Using Point-Slope Form**

Write an equation of the line through point P(-1, 4) with slope 3. y – y1 = m(x – x1) y – y1 = m(x – x1)

14
**Using Point-Slope Form**

Write an equation of the line through point P(2, -4) with slope -1.

15
**Write an equation of the line in point-slope form:**

P(2, 3), slope = 2 I(4, -1), slope = 3 R(-2, -6), slope = -4 A(6, 1), slope = ½ T(-3, 5), slope -1 E(0, 4), slope 1

16
**Writing an Equation of a Line Given Two Points:**

Write an equation of the line through A(-2,3) and B(1,-1): Find the slope: Use one point and write the equation in point-slope form:

17
**Writing an Equation of a Line Given Two Points:**

Write an equation of the line through P(5,0) and Q(7,-3) Find the slope: Use one point and write the equation in point-slope form:

18
**Write an equation in point-slope form of the line that contains the given points:**

D(0,5) E(5,8) F(6,2) G(2,4) H(2,6) I(-1,3) J(-4,4) K(2,10) L(-1,0) M(-3,-1) N(8,10) O(-4,2)

19
**Equations of Horizontal and Vertical Lines:**

A Horizontal Line cuts through the y-axis, so the equation is y = A Vertical Line cuts through the x-axis, so the equation is x = y = 4 x = 3

20
**Equations of Horizontal and Vertical Lines:**

Write the Equations of the Horizontal and Vertical line that goes through the point: (3, 2) Horizontal: Vertical: (4, 7) Horizontal: (2, 6) Horizontal:

21
**Homework pg 155 1-37all Workbook 3.5 All**

Show all work on a separate sheet of paper

Similar presentations

© 2020 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google