Writing Linear Equations (Slope- Intercept Form).

Slides:



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

Linear Equations Review. Find the slope and y intercept: y + x = -1.
Writing the Equation of a Line Using Slope-Intercept Form Chapter 5.1.
GONE FISHIN’ with LINEAR EQUATIONS! PLAY!.
Lesson 5.1 Write Equations in Slope-Intercept Form.
4.7 Graphing Lines Using Slope Intercept Form
Writing Linear Functions in Slope-Intercept Form.
Slope Intercept Form. Slope Intercept Form of an equation gives you a quick way to graph an equation.
Find slope and y-intercept given an equation in standard form. 5.5 day 2 3x - 6y = 12.
Warmups Determine the slope of the line passing through: (2,7) (4,-5)
Lesson 2.5 AIM: Graphing Slope Intercept Form. SLOPE INTERCEPT FORM y = mx + b m = slope (how steep the line is) b = y-intercept (where it crosses the.
Lesson 6.2 Slope-Intercept Form Objective 1: Writing Linear Equations Linear Equation – an equation whose graph is a straight line when graphed Y-Intercept.
Slope – Intercept Form What do all the points on the y-axis have in common? What do all the points on the x-axis have in common?
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 AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.
Slope-Intercept Form Page 22 10/15. Vocabulary y-Intercept: the point at which a function crosses the y-axis (0, y) x-intercept: the point at which a.
5-3 Slope-Intercept Form. Linear Equation: an equation that models a linear function The graph of a linear equation contains all the ordered pairs that.
5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope-intercept form. day 1.
11.6 The Slope Intercept Form
Graphing Linear Equations in Slope-Intercept Form.
Graph linear functions EXAMPLE 1 Graph the equation. Compare the graph with the graph of y = x. a.a. y = 2x b.b. y = x + 3 SOLUTION a.a. The graphs of.
Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.
Example 1 Identifying Slopes and y-intercepts Find the slope and y -intercept of the graph of the equation. ANSWER The line has a slope of 1 and a y -intercept.
The slope-intercept form of a linear equation of a non-vertical line is given by: Slope-Intercept Form of a Linear Equation.
Slope-Intercept and Point-Slope Forms of a Linear Equation.
Recall that the slope-intercept form of a linear equation of a non-vertical line is given by: Finding Slope-Intercept Form.
The slope-intercept form of a linear equation of a non-vertical line is given by: Slope-Intercept Form of a Linear Equation.
OBJECTIVES: TO WRITE LINEAR EQUATIONS USING SLOPE- INTERCEPT FORM TO GRAPH LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM CHAPTER 6 SLOPE-INTERCEPT FORM.
Writing Linear Equation using slope-intercept form.
Bell Ringer Write an equation in slope – intercept form that is parallel to the line 5
Aim: Converting linear equations into Slope- Intercept Form Do Now: 1) Define Slope 2) Define y-intercept It’s easier than you think…
Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.
WARM UP Evaluate 1.3x + y for x = 4 and y = 3 2.x² + 7 for x = 7 5 Minutes Remain.
2-4: Writing Linear Equations Using Slope Intercept Form.
Writing the Equation of a Line
Slope-Intercept Form of a Line
8-3 & 8-4: Graphing Linear Functions Mr. Gallo. Graphing Linear Functions  Linear Function:  The graph of this function is a ____________ _______. 
Calculate the Slope. What is the slope-intercept form of any linear equation?
5-3 Slope Intercept Form A y-intercept of a graph is the y-coordinate of a point where the graph crosses the y-axis. *Use can use the slope and y-intercept.
Find the x and y intercepts of each graph. Then write the equation of the line. x-intercept: y-intercept: Slope: Equation:
Write and Graph Linear Equation in Slope- Intercept Form I Can: 1)Write equations in slope-intercept form. 2) Graph equations that are written in slope-
Objective Write equations in slope-intercept form. Identify slope and y-intercept from an equation. 3.2 Slope-Intercept Form of a Linear Equation.
8.4 The Slope-Intercept Form of a Linear Equation Objective: To use the Slope-Intercept Form of a linear equation. Warm – up: Solve each equation for y.
2.3 Graphing Linear Equations in Slope-Intercept Form.
Slope-Intercept Form. Warm-up: Find the slope of the following: Find the slope of the line passing through: (-1,- 2)(3,4) Slope = 6 4 Find the slope of.
Slope, Intercepts, and Equation of a line. Slope intercept form:
X and Y Intercepts.
6.2: Slope-Intercept Form. Linear Equations  An equation whose graph is a line is a linear equation. Ex. y = 3x – 4  The y-intercept is the y-coordinate.
Is it a linear function? no.
Chapter 5:Write the equation of a line Given Slope & y-Intercept.
5.1 Slope-Intercept Form Day 2. Given the slope and y-intercept, create the equation of the line. 1.Slope = Slope = 1/3 3. Slope = -2/5 y-int =
7.3 – Writing Equations in Slope Intercept Form Objective(s): to write a linear equation in slope-intercept form given the slope and y-intercept Standard(s):
5)Find the slope of the line passing through the two given points. a)(-3,5) and (-3,1) b)(4, 6) and (1,6)
Quick Graphs Using Slope-Intercept form 4.6 Objective 1 – Graph a linear equation in slope-intercept form.
When an equation is in slope-intercept form: Examples: Identify the slope of the line and the y- intercept for each equation. 1. y = 3x y = ½.
The y-intercept and slope-intercept form/ Writing linear equations from graphs. 1/11/15.
Linear Functions and Slope
Do Now 1)What is the equation of the line passing through the points (0, 5) and (3, 6) ?
1. 2 Homework Monday, 12/7 Lesson 4.02_lesson 4.02_pg 286 #28-33, #52 ALL.
SOLVING LINEAR SYSTEMS by GRAPHING ADV133 Put in slope-intercept form: y = mx + b. y = 4x – 1 y = –x + 4 The solution to a system of linear equations is.
Chapter 6 Lesson 2 Slope-Intercept Form. Define: Slope-Intercept Form Define: Slope-Intercept Form The slope-intercept form of a linear equation is y.
5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope- intercept form. day 2.
4-1 Part 2 Putting Equations in Slope-Intercept Form Notes #_____ ____/____/____.
Recall that the slope-intercept form of a linear equation of a non-vertical line is given by: Graphing Using Slope-Intercept Form.
Writing Linear Equations in Slope Intercept Form Goals: Write linear equations given 2 points. Decide which form of a line to use given initial information.
STANDARD FORM OF A LINEAR EQUATION
Graphing Graph of a Linear Equation x and y Intercepts Slope of a Line
Warm Up – August 15, Does y vary directly with x? If so, what is the constant of variation and the function rule? 2. Determine whether y varies.
Write the equation for the following slope and y-intercept:
Objectives: To graph lines using the slope-intercept equation
Presentation transcript:

Writing Linear Equations (Slope- Intercept Form)

Reminders: The equation of a line is You will need both of these to write equations in Slope- intercept form.

Example 1: Write an equation for each of the graphs represented below.

Example 2: Write an equation for each of the graphs represented below.

Example 3: Write an equation for each of the graphs represented below.

Example 4: Write the equation of a line in slope-intercept form if the slope is and the y-intercept is -4.

Example 5: Write the equation of a line in slope-intercept form if the slope is and the y-intercept is 1.

Example 6: Write the equation of a line in slope-intercept form if two points on the line are and the line crosses the y-axis at 2.