December 4, 2012 Finding the slope and y-intercept of the line to write an equation Warm-up: 1.If f(x) = -4x + 5, find a) f(-8) and b) f(-2x – 3) 2.Write.

Slides:

Advertisements

Similar presentations

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

Advertisements

3-5 Lines in the coordinate plane M11. B

Lesson 5.1 Write Equations in Slope-Intercept Form.

AIM: Graphing 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)

Objective The student will be able to: 1) write equations using slope-intercept form. 2) identify slope and y-intercept from an equation. 3) write equations.

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.

Y = -2x + 1 x y xy (-2) + 1= 5 -2(0) (1) (2) (-1) + 1 Ordered Pair (-2, 5) (-1, 3) (0, 1) (1, -1) (2, -3) Where is the “y-intercept”?

Finding the Intercepts of a Line

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

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 Identify slope and y-intercept of the graph & graph an equation in slope-intercept form. day 1.

Gradient Intercept y = mx + c. Gradient of a line Graphs y = mx + c x y y intercept: where the graph cuts the Y axis Gradient: the slope (steepness) of.

= -9= 0 = -4 = -5/6 g.  Take out Homework.  Show me your work.  Check.

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

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

2-4: Writing Linear Equations Using Slope Intercept Form.

4.6 Slope-Intercept Form. What are the two ways we know how to graph a linear line so far? 1.) Using a t-chart, and plotting points 2.) Using x and y.

Systems of Equations.

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.

Mr. Huynh.  A linear equation can contain many parts such as this one: y = 2 x + 6. What does this all mean? To break it down, we must look at the initial.

Linear FunctionFunction where the graph is a lineChanges by a constant amount at set intervals.

December 7, 2012 Slope Intercept Form Warm-up: Find the slope of the line that goes through (3, -2) and (4, 7). Quiz Tuesday! HW 5.3: Pg. 275 #20-5,

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:

Slope of a Line Chapter 7.3. Slope of a Line m = y 2 – y 1 x 2 – x 1 m = rise run m = change in y change in x Given two points (x 1, y 1 ) and (x 2, 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.

SLOPE. What does slope measure? Slope measures the steepness of a line.

Find the slope through the points (5, 0) and (-10, 0)

Unit 3 Part 2 Writing Equations Ax + By = C (standard form) y = mx + b (slope – intercept form)

Graphing Lines Section 4.6.

Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.

Algebra II 2.2: Find slope and rate of change HW: p.86 (4-8 even, even) Quiz : Wednesday, 10/9.

3.4 Equations of Lines Then: You found the slopes of lines. Now: 1. Write an equation of a line given information about the graph. 2. Solve problems by.

Do Now Write the slope-intercept equation of this line.

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.

SLOPE-INTERCEPT FORM LINEAR FUNCTIONS. y = mx + b Slope - measure of the steepness of a line y-intercept - where the line crosses the y-axis.

1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt FunctionsSlopeGraphs.

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)

EXAMPLE 4 Write an equation of a line from a graph Gym Membership The graph models the total cost of joining a gym. Write an equation of the line. Explain.

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.

WRITING EQUATIONS IN SLOPE INTERCEPT FORM 4.2. What you need… ■In order to write an equation in slope intercept form you need to know 2 things: ■ y =

Parallel and Perpendicular Lines. Warm – up!! * As you walk in, please pick up a calculator and begin working on your warm –up! 1.What is the formula.

The y-intercept and slope-intercept form/ Writing linear equations from graphs. 1/11/15.

N * Use linear equations to solve problems and interpret the meaning of slope, m, and the y-intercept, b, in f(x)= mx + b in terms of the context.

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.

Do Now 1)What is the equation of the line passing through the points (0, 5) and (3, 6) ?

The slope of a line refers to the steepness of a line or how far it leans over. We look at a line from left to right.

5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope- intercept form. day 2.

1. Write the equation in standard form.

Writing Linear Equations

Final Exam Review Chapters 3 & 4.

Algebra 1 Section 5.2 Write equations of lines given slope and a point

Do Now Rewrite the equation 6x - 2y = 8 in slope intercept form. (y = mx + b) What is the equation in slope intercept form? What number represents the.

5.6 – point slope formula Textbook pg. 315 Objective:

Write the equation for the following slope and y-intercept:

2-4: Writing Linear Equations Using Slope Intercept Form

Writing Equations of Lines

5 Minute Check 1-4 Graph the equation : 2x + y – 4 = 0

Objectives: To graph lines using the slope-intercept equation

Point-Slope Form y – y1 = m(x – x1)

1: Slope from Equations Y = 8x – 4 B) y = 6 – 7x

Presentation transcript:

December 4, 2012 Finding the slope and y-intercept of the line to write an equation Warm-up: 1.If f(x) = -4x + 5, find a) f(-8) and b) f(-2x – 3) 2.Write an equation for the following situation: A gym membership has an initial fee of $100 and a monthly fee of $25. Let x represent the months and y, the amount spent on the membership.

Two forms of a line: Slope Intercept Form and Function Form What we called it before: y = rate(x) + base Slope Intercept Form: y = mx + b Function Form: f(x) = mx + b Let’s look at the graphs and equations from HW 4.8

We can now identify the slope and y- intercept from a graph. y = mx + b (pick 2 points on the graph) y-intercept (base): when x = 0 and hits the y-axis

Identify the slope and y-intercept, then write the equation: y = mx + b Positive slope Negative slope

What is the slope and equation for horizontal and vertical lines?

Finding the slope between two points You only need two points to find the slope of a line. Find the slope between (5, 1) and (2, -3). Using a tableUsing a formula Try one more using any strategy: Find the slope between (2, 3) and (2, -3)