Writing Linear Functions in Slope-Intercept Form.

Slides:

Advertisements

Similar presentations

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

Advertisements

Writing the Equation of a Line Using Slope-Intercept Form Chapter 5.1.

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.

Graphing Linear Equations in Slope-Intercept Form.

Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.

Recall that the slope-intercept form of a linear equation of a non-vertical line is given by: Finding Slope-Intercept Form.

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.

EXAMPLE 3 Write an equation of a line given two points

TODAY IN ALGEBRA…  Warm up: Calculating Slope  Learning Goal: 5.1b You will write equations of lines in slope intercept form given two points  Independent.

Use slope and y-intercept to write an equation

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

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.

8-3 & 8-4: Graphing Linear Functions Mr. Gallo. Graphing Linear Functions  Linear Function:  The graph of this function is a ____________ _______. 

Lesson 5.6 Point-Slope Form of the Equation of a Line.

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.

2.4 Essential Questions What is the point-slope form?

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.

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.

X and Y Intercepts.

Big Idea: -Verify that a point lies on a line, given the equation of the line. -Derive linear equations by using the point-slope formula. 5-1(Part 1) Write.

Slope-Intercept Form. y=mx + b m is the SLOPE m is the SLOPE b is the Y-INTERCEPT (where the line crosses the y-axis) b is the Y-INTERCEPT (where the.

2.3 Linear Functions and Slope-Intercept Form The slope of a nonvertical line is the ratio of the vertical change to the horizontal change between two.

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):

Writing Linear Equations (Slope- Intercept Form).

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)

Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

Equations of Lines LF.2.AC.7: Write an equation given two points, a point and y-intercept, a point and slope.

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.

Slope-Intercept Form of a Linear Equation. Is this a linear equation? 3x + 2y = 6.

8.1 Solving Systems of Linear Equations by Graphing EQ – HOW CAN YOU SOLVE A SYSTEM OF EQUATIONS BY GRAPHING?

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) ?

Warm up Write the slope and y-intercept for the following linear functions 1.y = 4x – 6 2.y = -3x y = 4 – 2x 4.y = 1/3x y = -2/3x.

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.

Equations in Slope- Intercept Form Honors Math – Grade 8.

5.1 – Writing Linear Equations in Slope- Intercept Form.

2.6 Finding equations of lines. Review Slope-Intercept Form: y = mx + b Point-Slope Form: y – y 1 = m (x – x 1 )

+ Lesson 5.1 Writing Linear Equations in Slope-Intercept Form (Function Form)

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.

Point-Slope Formula I can write an equation given a point and the slope.

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.

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.

Section 8.3 Part 2 Slope and y-intercept pages

5-3 slope-intercept form

Homework Lesson 4.03_ pg 287_ #8-11.

Presentation transcript:

Writing Linear Functions in Slope-Intercept Form

Review In the equation y = mx + b, what is m? what is b? So, if you were given a slope of -3 and a y- intercept of 5, how would you write the equation of the line?

Extra Problems 1. Slope = 8; y-intercept = Slope = ¾; y-intercept = -3

Write an equation of the line shown. Step 1: What is the slope? Step 2: Write an equation of the line. The line crosses the y-axis at (0,-4). So the y-intercept is what? y = mx + b y = 1x - 4

Writing functions Recall that the graphs of linear functions are lines. You can use slope-intercept form to write a linear function. f Earlier in the year, you saw that f (x) = y Now we’re going to take this concept and take it a step further!

Example 1 Write an equation for the linear function f with the values f (0) = 5 and f (4) = 17. f f Step 1: Look at f (0) = 5. Doesn’t it look very similar to f (x) = y???? Step 2: What is x and what is y? x = 0y = 5 Step 3: Now put those two into an ordered pair! (0,5) NOW, put the other value into an ordered pair.

Continuing on…. Now that you have two points. Find the slope. (0,5)(4,17) m = 3 Now, look at those two points. Does one of them look like they could be the y-intercept? Finally, write an equation of the line with the slope you found and the y-intercept you were given. y = 3x + 5

More examples Write an equation for the linear function f with the given values f (0) = -2 f (8) = 4 f (-3) = 6 f (0) = 5 Slope m = ¾ Slope m = -1/3 y-intercept b = -2 y-intercept b = 5

Homework In the book: In the book: Pg. 286 #18-38 evenPg. 286 #18-38 even