Point-Slope Form y – y1 = m(x – x1)

Slides:

Advertisements

Similar presentations

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

Advertisements

Parallel & Perpendicular Slopes II

Writing an Equation of a Line

Writing Linear Equations Using Slope Intercept Form

2.4 Writing the Equation of a Line

The equation of a line - Equation of a line - Slope - Y intercept

2.4 Write Equations of Lines

Equations of Tangent Lines

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.

Finding the Equation of a Line Critical Thinking Skill: Explicitly assess information and draw conclusions.

Plot and label the ordered pairs in a coordinate plane. (Lesson 4.1) A(-5, 2), B(0, 5), C(-6, 0)

5.4 Point Slope Form.

Writing an Equation Using Two Points Goal: to write an equation of a line, in slope intercept form, that passes through two points.

5.1 Writing Equations in Slope Intercept Form DO NOW: 1) Identify the Slope and Y-INT: y = -3x + 5 2)Find the slope: (-2, 3) and (4, -1) 3) Which point.

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.

4-2 Writing Linear Equations Given Two Points

Use Linear Equations in Slope Intercept Form. Given a Slope and Coordinate Define the variables we know – m, (x, y) Substitute into slope intercept form.

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.

You will be able to: Write an equation of a line given one point and slope.

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

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.

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 =

Linear Functions and Slope

 An equation of a line can be written in slope- intercept form y = mx + b where m is the slope and b is the y- intercept.  The y-intercept is where.

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.

How to Write an Equation of a Line Given TWO points

Writing Linear Equations

Slope Intercept Form Algebra

Writing Linear Equations in Slope-Intercept Form

Equations of Lines Part 2

Writing Equations of Lines

5.4 Writing Equations in Point-Slope Form

3.3: Point-Slope Form.

STANDARD FORM OF A LINEAR EQUATION

Point-Slope Form.

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.

Equations of straight lines

2.4 Writing the Equation of a Line

Objective The student will be able to:

5-4 Point Slope Form.

Slope-Intercept Form.

3.5 Write and Graph Equations of Lines

2.4 Writing the Equation of a Line

8/29/12 Writing the Equation of a Line

Writing Linear Equations When Given Two Points on the Line

Determining an Equation of a Line

2.5 Writing Equations in Slope Intercept Form

Forms of a linear equation

Writing Equations of Lines

Lesson 5.1 – 5.2 Write Linear Equations in Slope-Intercept Form

5.6 – point slope formula Textbook pg. 315 Objective:

4.2 Point-Slope Form.

4.7 Graphing Lines Using Slope-Intercept Form

5.3: Write Equations in Point-Slope Formula

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

2-4: Writing Linear Equations Using Slope Intercept Form

Writing Equations of Lines

Writing Equations of Lines

Slope-intercept Form of Equations of Straight Lines

Writing Equations of Lines

Writing Linear Equations from Graphs

Objectives: To graph lines using the slope-intercept equation

2.4 Writing the Equation of a Line

ALGEBRA I - REVIEW FOR TEST 2-1

Warm up 21 1.) Determine the slope and y intercept of the line y=7x ) Determine the slope and the yintercept of the line 7x- 4y=3 3.) Graph y=1/2.

Writing Equations of Lines Day 92

Graphing using Slope-Intercept Form

Presentation transcript:

Point-Slope Form y – y1 = m(x – x1) Derived (came from) the slope formula: (x1, y1) = (-2, -2) (x, y)

Point-Slope Form We know the point (-2, -2), so x1 = -2 and y1 = -2 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:

Example: Using Point-Slope Form to Identify Information About a Line Use the point-slope form of each equation to identify a point the line passes through and the slope of the line. y – 7 = 3(x – 4) y – y1 = m(x – x1) y – 7 = 3(x – 4) The equation is in point-slope form. m = 3 Read the value of m from the equation. (x1, y1) = (4, 7) Read the point from the equation. The line defined by y – 7 = 3(x – 4) has slope 3, and passes through the point (4, 7).

Graphing Using Point-Slope Form Graph the equation What is the ordered pair? (x1, y1) = What is the slope? m = (2, 5) (2, 5)

Graphing Using Point-Slope Form Graph the equation What is the ordered pair? (x1, y1) = What is the slope? m = (-2, 5)

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)

Write an Equation in Point-Slope Form Given Two Points Steps: Find the slope between the two points. Pick one point to use in order to write the equation. Plug in the slope and coordinate from the point into the Point-Slope Form

Write an Equation in Point-Slope Form Given Two Points 7. (-3, 7) and (1, -1) y – 7 = -2(x + 3) or y + 1 = -2(x – 1) 8. (-2, 3) and (-1, 1) y – 3 = -2(x + 2) or y – 1 = -2(x + 1) 9. (-2, -5) and (7, -6) y + 5 = - (x + 2) or y + 6 = - (x – 7)

You can rewrite in the Slope-Intercept Form y – 7 = ‒2(x + 3) or y + 1 = ‒2(x – 1) y – 7 = ‒ 2x ‒ 6 y + 1 = ‒ 2x + 2 y = ‒ 2x + 1 y = ‒ 2x + 1 SAME RESULT