LESSON 20 PREREQ B: Writing the Equation of a Line.

Slides:

Advertisements

Similar presentations

5.7 Parallel and Perpendicular Lines

Advertisements

Lesson 5.1 Write Equations in Slope-Intercept Form.

Linear Functions.

2.5 Linear Equations. Graphing using table Graphing using slope and y-intercept (section 2.4) Graphing using x-intercept and y-intercept (section 2.5)

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 AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.

Objectives: Define and explain the components of the slope-intercept form of a linear equation. Use the slope-intercept form of a linear equation. Standards.

4.2 Graphing Linear Functions Use tables and equations to graph linear functions.

Equations of lines.

2.3 Linear Functions.

Warm-Up 1. What is the slope & y-intercept of the line 2x – 5y = 10? 2. Find the slope between the points (-15, -3) and (6, 4) 3. Write the equation of.

Rates of Change (Slope)

Point-Slope Form of a Linear Equation. Point-Slope Form In most textbooks the graphing form for a linear equation is called Point-Slope Form and is the.

Sullivan Algebra and Trigonometry: Section 2.3 Objectives Calculate and Interpret the Slope of a Line Graph Lines Given a Point and the Slope Use the Point-Slope.

Section 1.1 Slopes and Equations of Lines

5.1 Equations of Lines Equations of the form ax + by = c are called linear equations in two variables. x y 2 -2 This is the graph of the equation 2x +

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:

Day Problems Graph each equation.

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

Slopes and Parallel Lines Goals: To find slopes of lines To identify parallel lines To write equations of parallel lines.

1. A line passes through (3, 5) and (6, 14). What is the equation of the line in point-slope form? 2. Write an equation of a line parallel to -3x + y =

HPC 1.6 Notes Learning Targets: - Interpret the slope of a line - Write equations in slope-intercept form - Write equations in point-slope form.

Linear Models & Rates of Change (Precalculus Review 2) September 9th, 2015.

Point-Slope Formula Writing an Equation of a line Using the Point-Slope Formula.

Lines. Slope Measure of units the line rises for each unit of horizontal change - symbol (m) m = Δy = y 2 – y 1 Δx x 2 – x 1 if x 2 = x 1 then m is undefined.

 Lesson 4: Equations of Lines. Slope and y-intercept Two ordered-pairs (one is y-intercept) Two ordered-pairs (neither is y-intercept) m = -4 y-intercept.

Algebra 2 Lesson 2-4 Writing Linear Equations. Different Forms of Linear Equations Slope-intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope.

For the line that passes through points (-4, 3) and (-2, 4).

Slopes and Equations of Lines Advanced Geometry Parallel and Perpendicular Lines Lesson 2.

CHAPTER 6 SECTION 1 Writing Linear Equations in Slope-Intercept Form.

What are the characteristics of Lines in the Plane? Section P4 (new text)

Slope  The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points.

M Linear equations also known as lines. m Each line is defined by: intercepts and slope m Slope is the change in y over the change in x m rise over run.

2.5.1 – Writing Equations of Lines. Given certain information, we must now be able to write our own equations of graphs Still try and use the forms of.

Are You Smarter Than a 5 th Grader? 1,000,000 5th Grade 5th Grade Equations 5th Grade 5th Grade Equations 5th Grade 5th Grade Equations 4th Grade 4th.

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

Warm Up. Write Equations of Lines Essential Question: How do you create an equation of a line given a point and the slope or given two points?

TSW calculate slope given two points TSW calculate slope for parallel/perpendicular lines TSW write linear equations given slope and y-intercept TSW write.

Is it a linear function? no.

Chapter 5:Write the equation of a line Given Slope & y-Intercept.

Chapter 5:Write the equation of a line Given Two Points.

Notes A7 Review of Linear Functions. Linear Functions Slope – Ex. Given the points (-4, 7) and (-2, -5) find the slope. Rate of Change m.

WARM UP YOU’RE CERTIFIED! 5.3 Writing Linear Equations Given Two Points Today’s Schedule: Lesson 5.3 Powerpoint Lesson 5.3 Powerpoint.

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 =

5.3 Slope-Intercept Form I can write linear equations using slope-intercept form and graph linear equations in slope-intercept form.

Geometry Section 3.7 cont. “Writing Equations of Lines”

5-6 PARALLEL AND PERPENDICULAR LINES. Graph and on the same coordinate plane. Parallel Lines: lines in the same plane that never intersect Non-vertical.

Choosing the Best Method Objective: To choose the best method of writing a linear equation between Slope-Intercept Form and Point-Slope Form. o Warm –

Writing Equations of Lines. Find the equation of a line that passes through (2, -1) and (-4, 5).

4.3 – Writing Equations in Point Slope Form. Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3.

Algebra I Section 4-3 Point-Slope Form. Point - Slope Form y - y 1 = m (x - x 1 ) m = slope ( x 1, y 1 ) -- ordered pair.

I can determine when lines are parallel and write equations of parallel lines.

2.2: Linear Equations Our greatest glory is not in never falling, but in getting up every time we do.

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.

Linear Functions and Slope

Warm – up #4 1. A line passes through (3, 5) and (6, 14). What is the equation of the line in point- slope form? 2. Write an equation of a line parallel.

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

Warm-Up What is the equation of the line? 1.) (2,6); m = 1/2.

Section 3-7 Equations of Lines in the Coordinate Plane Michael Schuetz.

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

Algebra 1 Foundations, pg 338  Students will be able to write and graph linear equations using point-slope form.

Algebra 1 ~ Sections 5-4 & 5-5 & Standard Form Writing Equations of Lines in Point-Slope Form, Slope-Intercept Form, and Standard Form.

Algebra 1 Section 5.6 Write linear equations in standard form Recall: Forms of linear equations Standard Slope-intercept Point-slope Graph 4x – 3y = 6.

1.3 Linear Equations in Two Variables. I. Using Slope.

Warm-Up 1. Rewrite -5x – 7y = 10 to find the slope and y-intercept. 2. Find the x-intercept of 4x – 6y = Write the equation of a line in slope-

BELL RINGER. POINT SLOPE - FORMULA y – y 1 = m(x – x 1 ) What does each variable represent? How can this formula be used?

Writing Equations of Lines. What am I learning today? How can you find an equation of a line given the slope and the y intercept of the line? Given the.

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.

Slope of a line/Rate of change

Presentation transcript:

LESSON 20 PREREQ B: Writing the Equation of a Line

The SLOPE Formula:

Ex 1: Find the slope. a) b) c)

HORIZONTAL LINES: SLOPE = M = 0 Y-INTERCEPT (0, B) VERTICAL LINES: SLOPE = M IS UNDEFINED NO Y-INTERCEPT

Slope-Intercept form:

Point-Slope form:

Standard form:

Ex 2: Write the equation of the line in slope-intercept form & sketch the graph. a) Slope = 2, y-int = 4 b) Slope = y-int = − 1

Ex 3: Write the equation of the line that passes through the given point and has the given slope. a) Slope = 2 b) Slope =

Ex 4: Write the equation of the line that passes through the given points. a) & b) &

HW – WORKSHEET