5.4 Point Slope Form.

Slides:



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

Lesson 5.1 Write Equations in Slope-Intercept Form.
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.
3.5 Lines in the Coordinate Plane
Finding the Equation of a Line Critical Thinking Skill: Explicitly assess information and draw conclusions.
Slope-Intercept and Point-Slope Forms of a Linear Equation.
Graphing Linear Equations. Identifying a Linear Equation A linear equation is any equation that can be put in the form... Ax + By = C... where A, B, and.
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.
Warm Up Identify which lines are parallel.
5.4 Point-Slope Form of a Linear Equation
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.
Warm-Up Find the slope of the line that passes through the two points:
Warm ups Find the x and y intercepts: 3x -9y = 18
Writing the Equation of a Line
Slope-Intercept Form of a Line
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.
Lesson 5.6 Point-Slope Form of the Equation of a Line.
Section 2.4 Notes: Writing Linear Equations. Example 1: Write an equation in slope-intercept form for the line.
Algebra 3 Lesson 1.3 Objectives: SSBAT write the equation of a line given the slope and y-intercept. SSBAT write the equation of a line given the slope.
4-2 Writing Linear Equations Given Two Points
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.
Section 2.5 Other Equations of Lines  Point-Slope Form (y – y 1 )=m(x – x 1 )  Special pairs of lines: Parallel Lines m 1 = m 2 Perpendicular lines m.
2.4 Essential Questions What is the point-slope form?
Warm ups 1. Find the x and y intercepts: 3x -9y = Write in Point-Slope Form: (5,-3) m = -2(3,4) (-1,8) 3. Write in Standard Form: (2,3) (0,3)(4,
Point-Slope Form. What we Know so far…. Slope Intercept Form Where m is the slope and b is the intercept.
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.
X and Y Intercepts.
Slope The slope of a linear equation is the same everywhere along the line. We know how to use slope-intercept form: In slope-intercept form, the slope.
6.5 Point – Slope Form. Quick Review 1. What is the Slope-Intercept Form? y = mx + b 2. What is the Standard Form? Ax + By = C 3. How does an equation.
5.2 Point slope form Obj: I can use point slope form to write the equation of a line. Write down HW Test corrections are due Thursday. I will be out again.
Graphing Test Review Algebra.
Warm Up 1) Graph the line y = -3 2) You drive 60 miles in 2 hours and 150 miles in 5 hours. What is the rate of change and what does it represent?
Using a Point & Slope to find the Equation. What we are doing today…. We are going to learn how to take a point and a slope and turn it into y = mx +
Warm-Up 1. Find the slope of the line that passes through the two points: a. (-2,3) and (5,-1)b. (6,-2) and (-1,-5) 2. Put each equation into slope-intercept.
WARM UP YOU’RE CERTIFIED! 5.3 Writing Linear Equations Given Two Points Today’s Schedule: Lesson 5.3 Powerpoint Lesson 5.3 Powerpoint.
Writing an Equation of a Line I can…. determine the equation of a line and/or graph a linear equation Unit 1 Basics of Geometry.
Chapter 5, What Linear Equations are all about Winter, (brrrr…)
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 –
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.
Geo A Chapter 7 Writing Linear Equations Write the point-slope form of the line that passes through the point (-3, -1) and has a slope of 1.
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.
6.4 Point-Slope Form and Writing Linear Equations Point-Slope Form of a Linear Equation –The point-slope form of the equation of a non- vertical line that.
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.
Section 6-: Point-slope Form of a Linear Equation SPI 22C: select the graph that represents a given linear function Objective: Graph and write linear equations.
Use point-slope form to write an equation EXAMPLE 3 Write an equation in point-slope form of the line shown.
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.
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.
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.
Solve: -4(1+p) + 3p - 10 = 5p - 2(3 - p) Solve: 3m - (5 - m) = 6m + 2(m - 4) - 1.
Point-Slope Form Linear Equations in Two Variables.
Equations of Lines Part 2 Students will: Write slope intercept form given a point and a slope 1.
Algebra 1 ~ Sections 5-4 & 5-5 & Standard Form Writing Equations of Lines in Point-Slope Form, Slope-Intercept Form, and Standard Form.
5-4 Point-Slope Form and Writing Linear Equations Hubarth Algebra.
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.
Writing Equations from Tables
Objective - To write equations given the slope and a point using Point-Slope Form. Point-Slope Form Write the equation of a line in point-slope form that.
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?
Chapter 5 Objective 2: Writing equations in Standard Form using 2 points.
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.
Objective The student will be able to:
Write the equation for the following slope and y-intercept:
2.2: Graphing a linear equation
Point-Slope Form y – y1 = m(x – x1)
Presentation transcript:

5.4 Point Slope Form

Overview Point-Slope Form Graphing Using Point-Slope Form Writing an Equation in Point-Slope Form Writing an Equation Using a Table Forms we’ve learned so far… Slope-Intercept Form: y = mx + b

Point-Slope Form Slope Ordered pair

Point-Slope Form We know the point (-2, -2), so x1 = -2 and y1 = -2 1. Write the equation in Point-Slope Form of the graph below: (x1, y1) = (-2, -2) We know the point (-2, -2), so x1 = -2 and y1 = -2 (x, y) We know the slope is 2/3 Plug it into the Point-Slope Form:

Write an Equation in Point-Slope Form Given a Point and a Slope y + 3 = 4(x + 1) 5. (-10, 0); Slope = 2 y = 2(x +10) 6. (-4, 3); Slope = -6 y – 3 = -6(x +4)