Aim: How do we find points of intersection? What is slope? Do Now: Is the function odd, even or neither? 1)y - x² = 7 2)y = 6x - x⁷ 3)y = √ x⁴ - x⁶ 4)Find.

Slides:

Advertisements

Similar presentations

Parallel & Perpendicular Slopes II

Advertisements

2.4 Write Equations of Lines

Parallel and Perpendicular Lines

Parallel and Perpendicular Lines

Point-Slope Form Use point-slope form to write the equation of a line. 2.Write the equation of a line parallel to a given line. 3.Write the equation.

Unit 1 Basics of Geometry Linear Functions.

5.7 Parallel and Perpendicular Lines

Write an equation given the slope and a point EXAMPLE 2 Write an equation of the line that passes through (5, 4) and has a slope of –3. Because you know.

Slope-Intercept and Point-Slope Forms of a Linear Equation

Warm Up Identify which lines are parallel.

Writing Linear Equation using slope-intercept form.

EXAMPLE 1 Write an equation of a line from a graph

Goal: Write a linear equation..  1. Given the equation of the line 2x – 5y = 15, solve the equation for y and identify the slope of the line.  2. What.

Section 1.1 Slopes and Equations of Lines

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

Parallel and Perpendicular lines I can write an equation of a line that passes through a given point, either parallel or perpendicular to a given line.

Drill #19 Determine the value of r so that a line through the points has the given slope: 1. ( 2 , r ) , ( -1 , 2 ) m = -½ Find the slope of the following.

Section 2.4 Notes: Writing Linear Equations. Example 1: Write an equation in slope-intercept form for the line.

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

2.4 – Writing Linear Equations. 2.4 – Writing Linear Equations Forms:

Writing Equations of a Line. Various Forms of an Equation of a Line. Slope-Intercept Form.

WRITE EQUATIONS OF PARALLEL AND PERPENDICULAR LINES November 20, 2008 Pages

Section 6.6 What we are Learning:

 Parallel Lines = Lines in the same plane that never intersect.  Review:  Slope-Intercept form: y = mx+b.

2.4 Essential Questions What is the point-slope form?

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

 Complete the tables x5x – xx

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.

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

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

Algebra 5.5 Point-Slope Form. Point-Slope Form A formula used to find the linear equation when given a point on the line and the slope of the line. Point-Slope.

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.

Point Slope Form. Write the equation of the line with slope 3 and passing through the point (1, 5). y – y 1 = m(x – x 1 )

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.

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

Ch 5.2 Objective: To write equations given the slope and a point using Point-Slope Form.

2.3 Equations of Lines Going the other direction – from a picture to the equation.

Section P.2 – Linear Models and Rates of Change. Slope Formula The slope of the line through the points (x 1, y 1 ) and (x 2, y 2 ) is given by:

Lesson 3-7: Parallel & Perpendicular Lines Objectives Students will: Use equations to determine if two lines are parallel or perpendicular Write an equation.

Warm-Up 5 minutes 1. Graph the line y = 3x + 4.

Warm up Recall the slope formula:

Aim: What is the equation of a line? Do Now: Find the slope of the line 8x + 5y = 20 This is the slope – intercept form y = mx + b HW: Handout.

§2.4 Write Equations of Lines CA Standard: Algebra 1: 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able.

Parallel and Perpendicular Lines. 1. Fill in the chart with the missing slopes. (similar to p.234 #22) Slope of the Given Line Slope of a Line Parallel.

Solve: -4(1+p) + 3p - 10 = 5p - 2(3 - p) Solve: 3m - (5 - m) = 6m + 2(m - 4) - 1.

 Slope-Intercept Form:  y = mx + b  where m is the slope and b is the y-intercept.  How do you know you have b? Either you will see b = ??, or you.

Warm Up! – Graph the line that satisfies each condition

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.

Writing Equations of Lines

Parallel and Perpendicular Lines

Parallel and Perpendicular Lines

Chapter 1: Lesson 1.3 Slope-Intercept Form of a Line

Warm up (10/28/15) Write an equation given the following info:

PARALLEL LINES Graphs: Lines Never Intersect and are in the same plane

Writing Equations of Lines

Writing Linear Equations Given Two Points

3.5 Write and Graph Equations of Lines

Warm up (3/28/17) Write an equation given the following info:

Geometry Section 3.5.

PARALLEL LINES Graphs: Lines Never Intersect and are in the same plane

Warm up Write an equation given the following information.

Warm up Write an equation given the following info:

Warm up Write an equation given the following info:

Warm up Write an equation given the following info:

PERPENDICULAR LINES.

PARALLEL LINES Graphs: Lines Never Intersect and are in the same plane (coplanar) Equations: Same Slopes Different y-intercepts.

Warm up (10/22/14) Write an equation given the following info:

3.5 Write and Graph Equations of Lines

Presentation transcript:

Aim: How do we find points of intersection? What is slope? Do Now: Is the function odd, even or neither? 1)y - x² = 7 2)y = 6x - x⁷ 3)y = √ x⁴ - x⁶ 4)Find the x and y intercepts for: y = x -1 x - 2

HW #4 pg 10 #43,45,47 pg 17 #1,3,5,31,33,35 Finding the intersection of 2 functions 1)If possible get y by itself on the left side of the equation. 2) Set the right sides equal to each other 3) Solve for x (usually involves factoring)

Example: y = x² -3 and y - x = -1

Try these: 1)x² - y = 3 and x – y = 1 2)x² + y = 7 and 2x – y = 1

What is slope? What is the formula for slope? What is the slope-intercept form of an equation?

You can also write an equation in point – slope form. Point- Slope Form y – y₁ = m(x - x₁) So, if an equation of a line has a slope of 3 and passes through point (1,-2), how could you write this using the point-slope form? Slope-intercept form?

Try these examples: write in both forms. 1)Passes through point (-3,3) slope of 2 2)Passes through point (0,4) slope of -1 3) Passes through point (-2, 4) slope of -3/5

Slopes of Parallel lines? Perpendicular Lines?