4 minutes Warm-Up Graph. 5x – 4y = 20 2) x = 5 3) y = -2.

Slides:



Advertisements
Similar presentations
Objective - To graph linear equations using the slope and y-intercept.
Advertisements

3.7 Equations of Lines in the Coordinate Plane
2-3 Slope Slope indicates the steepness of a line.
Don’t forget to show your work!. Slope-Intercept Form Section 3.6.
Warm-Up Graph. Then find the slope. 5 minutes 1)y = 3x + 2 2) y = -2x +5.
Do Now Find the slope of the line passing through the given points. 1)( 3, – 2) and (4, 5) 2)(2, – 7) and (– 1, 4)
Writing equations in slope intercept form
Graphing Using Slope - Intercept STEPS : 1. Equation must be in y = mx + b form 2. Plot your y – intercept ( 0, y ) 3. Using your y – intercept as a starting.
WARM UP Evaluate 1.3x + y for x = 4 and y = 3 2.x² + 7 for x = 7 5 Minutes Remain.
3.3 Slope.
Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept.
2.3 – Slopes, Forms of Lines. Slope Slope = measure of steepness of a line in the Cartesian plane for two points Slope = m = Two ways to calculate slope:
Linear Equations in Two Variables
Analyzing Data using Line Graphs Slope & Equation of a Line.
Functions and Their Graphs 1.1 Lines in the Plane.
Graphing Lines Section 4.6.
Warm – up #5. Homework Log Thurs 11/5 Lesson 3 – 3 Learning Objective: To find composite functions Hw: #306 Pg. 186 #46 – 64 even, Pg.192 #1 – 7 odd.
Writing Equations of Lines. Find the equation of a line that passes through (2, -1) and (-4, 5).
Warm-Up. Slope Slope Objectives: Define slope as the ratio of vertical rise to horizontal run. Determine the slope of a line given a graph. Determine.
1.2 Slopes and Intercepts equation for a given line in the coordinate
Ex 2: Graph the line with slope 5/2 that passes through (-1, -3)
Slope-Intercept and Standard Form of a Linear Equation.
Warm Up Find each y-intercept. 1. y = 3x x – 3y = 12 2 –4
Slope Intercept Form Algebra
Slope Slope is the steepness of a straight line..
Warm Up Find each y-intercept. 1. y = 3x x – 3y = 12
Graphing Linear Equations
5.3 Slopes of Straight Lines
3.1 Graphing in 2-D Coordinates
Warm Up Substitute the given values of m, x, and y into the equation y = mx + b and solve for b. 1. m = 2, x = 3, and y = 0 Solve each equation for y.
Slope of a Line.
Graphing Linear Equations
4.5: Graphing Equations of Lines
Linear Equations in two variables
Objective- To use slope and y-intercept to
Equations of Lines in the Coordinate Plane
Warm up #5.
Objective- To find the slope of a line given
Slope and Graphing.
SLOPE.
Warm Up.
Algebra 1 Review Linear Equations
3-4 Equations of Lines Name the slope and y-intercept of each equation. 1. y = ½ x + 4 m = ½ b = 4 2. y = 2 m = 0, b = 2 (horizontal line) 3. x = 5.
Writing Linear Equations When Given a Point and the Slope Day 2
2.5 Linear Equations.
Introduction To Slope.
Equation of a line Graphing lines Matching
Parallel Lines in Coordinate Plane
Write the equation for the following slope and y-intercept:
Objectives Graph lines and write their equations in slope-intercept and point-slope form. Classify lines as parallel, intersecting, or coinciding.
Warm-Up #27 (Monday, 11/9/2015) Given y-2x - 9= 3(x + 6), solve for y.
SLOPE.
2-3 Slope Slope is “the change in y over the change in x” (vertical over horizontal). rise / run is the ‘m’ in y = mx + b.
Section 3.3 The Slope of a Line.
7.5 Slope Pg. 497.
3-4 Day 1 Equations of Lines
Find the y-intercept and slope
Geometry 3.6 – 3.7 Brett Solberg AHS ‘11-’12.
6 minutes Warm-Up 1. Find the slope of the line containing the points (-2,5) and (4,6). 2. Find the slope of the line y = x – Find the slope of the.
5-3 slope-intercept form
Warm-up # 4 5 −3= Write the slope-intercept form for the equation of the line through (0, 2) that has a slope of 3 4 Write the slope-intercept form for.
Warm-Up 5.1
Even better… write it as y = 3x – 6
Warm-Up #8 Solve for y: 2y – x = 4 5 – y = 6x y – 2x = 6.
Objectives: To graph lines using the slope-intercept equation
Warm Up The function below shows the cost of a hamburger with different numbers of toppings (t): f(t) = t a. What is the y-intercept, and.
Warm up 19 1.) Graph using 3 points x +3y =6
1: Slope from Equations Y = 8x – 4 B) y = 6 – 7x
Writing Equations of Lines Day 92
Presentation transcript:

4 minutes Warm-Up Graph. 5x – 4y = 20 2) x = 5 3) y = -2

5.1 Slope Objectives: To find the slope of a line given two points on the line To describe slope for horizontal and vertical lines

Slope -4 -2 2 4 6 8 10 -6 -8 -10 Slope = run rise

Example 1 Graph the line containing points (2,1) and (7,6) and find the slope. -4 -2 2 4 6 8 10 -6 -8 -10 Slope = run rise

Practice Graph the line containing these points and find their slopes. 1) (-2,3) (3,5) 2) (0,-3) (-3,2)

Slope Slope = or

Example 2 Find the slope of the line containing points (1,6) and (5,4).

Practice Find the slope of the lines containing these points. 1) (2,2) (8,9) 2) (-2,3) (2,1) 3) (5,-11) (-9,4)

Slope of a Horizontal Line What about the slope of a horizontal line? -4 -2 2 4 6 8 10 -6 -8 -10 What is the rise? What is the run? 6 Slope = The slope of ANY horizontal line is 0.

Slope of a Vertical Line What about the slope of a vertical line? -4 -2 2 4 6 8 10 -6 -8 -10 What is the rise? 5 What is the run? Slope = The slope of ANY vertical line is undefined.

Example 1 Find the slope of the line y = -4. Slope = -4 -2 2 4 6 8 10 -6 -8 -10 Slope =

Example 2 Find the slope of the line x = 7. Slope = -4 -2 2 4 6 8 10 -6 -8 -10 Slope = The line has no slope.

Practice Find the slopes, if they exist, of the lines containing these points. 1) (9,7) (3,7) 2) (4,-6) (4,0) 3) (2,4) (-1,5)

5 minutes Warm-Up Graph. Then find the slope. y = 3x + 2 2) y = -2x +5

5.2 Equations and Slope Objectives: To find the slope and y-intercept of a line from an equation

Slope-Intercept Equation Find the slope of the line y = 2x - 4. 8 y = 2x - 4 6 4 x y 2 -4 -8 -6 -4 -2 2 4 6 8 1 -2 -2 rise: -4 2 -4 run: -2 -6 -8 The y-intercept is -4.

Slope-Intercept Equation y = mx + b y = 4x + 8 slope y = 2x - 3 y-intercept slope = 4 y-intercept = 8 slope = 2 y-intercept = -3

Example 1 Find the slope and y-intercept of the line y = -4x + 4. The slope is -4. The y-intercept is 4.

Example 2 Find the slope and y-intercept of the line y = 5x - 7. The slope is 5. The y-intercept is -7.

Practice Find the slope and y-intercept of each line. y = x + 3

Example 3 Find the slope and y-intercept of the line 3x + 4y = 12. solve for y -3x -3x 4y = 12 – 3x 4 4 slope y-intercept = 3

Practice Find the slope and y-intercept of each line. y = -x - 3 2) 8x + 2y = 10 3) 3y – 6x = 12

Homework p.326 #1-10,19-27 odds

Warm-Up 4 minutes Find the slope and y-intercept. y = 3x + 4 3) 2x + 7y = 9 4) 4x = 9y + 7

Example 1 Graph y = 3x + 2. What is the slope of this line? 8 What is the slope of this line? 6 4 2 -8 -6 -4 -2 2 4 6 8 -2 What is the y-intercept? -4 b = 2 -6 -8

Example 2 Graph What is the slope of this line? 8 What is the slope of this line? 6 4 2 -8 -6 -4 -2 2 4 6 8 -2 What is the y-intercept? -4 b = -3 -6 -8

Practice Graph each line. y = 3x - 5 2) y = -2x + 4 3)

Example 3 Graph 3x + 4y = 12. 3x + 4y = 12 solve for y -3x -3x

Example 3 Graph 3x + 4y = 12. slope y-intercept 8 6 4 2 -8 -6 -4 -2 2

Practice Graph each line. 7x + 2y = 4 2) 5y – 10 = 4x