MFM 2P Minds On Plot the following points: (5, 7) (-2, 3) (-10, 0) (-8, -5) (0, 6) Using either a whiteboard or graph paper, draw the Cartesian Plane and.

Slides:

Advertisements

Similar presentations

4.7 Graphing Lines Using Slope Intercept Form

Advertisements

Lines in the Coordinate Plane

Think, Think, Think. Algebra I Seminar. How Much Do you Remember? The Coordinate Plane X-axis, Y-axis Slope Y-intercept Ordered Pairs Slope Intercept.

Slope and Rate of Change Equations of Lines

Lesson 5.1 Write Equations in Slope-Intercept Form.

Slope Intercept Form.

4.7 Graphing Lines Using Slope Intercept Form

AIM: Graphing Slope Intercept Form

NOTES: GRAPHING USING SLOPE & Y-INTERCEPT DAY 2. STEPS REWRITE IN SLOPE INTERCEPT FORM REWRITE IN SLOPE INTERCEPT FORM (Y = MX+B) LABEL SLOPE (M) AND.

Chapter 4.7: Graphing a Line using Slope-Intercept, Part 1.

Section 4.7: Graphing Lines using Slope-Intercept Form Int. Math I.

Lesson 5-2 – Slope Intercept Form Notes – Writing Linear Equation

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.

Summer Assignment Review

Graphing Using Slope - Intercept STEPS : 1. Equation must be in y = mx + b form 2. Plot your y – intercept ( 0, y ) 3. Using your y – intercept as a starting.

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

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

Systems of Equations OBJECTIVES To understand what a system of equations is. Be able to solve a system of equations from graphing the equations Determine.

GRAPHING EQUATIONS OF LINES

Unit 5: Analytic Geometry

WARM UP Evaluate 1.3x + y for x = 4 and y = 3 2.x² + 7 for x = 7 5 Minutes Remain.

Slope Intercept Form. Y = mx + b m is the slope b is the y-intecept (0, b) Your equation must say “y = “ Example: Y = 3x + 8 m = 3 Y-intercept (0,8) Y.

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:

Warm-up Presentation Lesson Quiz

MFM 2P Minds On Integer Review! Calculate the following without using a calculator.

Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Warm Up 1. 4x + 2y = x + 2 = 6y Solve each equation for y. y = –2x Find the slope of the line that contains (5, 3) and (–1, 4). 4. Find the.

Graphing Lines Section 4.6.

2.4 Linear Functions: Graphs and Slopes. Slope is the steepness of the line (the slant of the line) and is defined by rise the change in y run the change.

Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

There are three ways in which we can solve for slope: Slope = RISE RUN 1. Use the formula and count the spaces on a graph. = 2323.

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

Quick Graphs Using Slope-Intercept form 4.6 Objective 1 – Graph a linear equation in slope-intercept form.

OBJECTIVE: USE THE SLOPE INTERCEPT FORM TO GRAPH A LINE Slope Intercept Form.

Graphing Equations Slope Intercept form and Point Slope form.

SLOPE INTERCEPT FORM Y = MX +B SLOPE INTERCEPT FORM WHAT IS THE SLOPE INTERCEPT FORM? Y = MX +B a) M STANDS FOR THE SLOPE (RISE OVER RUN) b) B STANDS.

Lines in the Coordinate Plane

Warm Up Substitute the given values of m, x, and y into the equation y = mx + b and solve for b. 1. m = 2, x = 3, and y = 0 Solve each equation for y.

MAT 150 Module 2 – Linear Functions Lesson 2 – Graphing Linear Functions.

Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

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

Remember slope is a rate of change so it is the difference of the y coordinates over the difference of the x coordinates. Precalculus Functions & Graphs.

Write the Equation of the Line You will need to take notes on GRAPH paper today. Copy the graph below and we will use it to answer multiple questions.

Slope intercept form.  The slope intercept form of a line is:  y = m x + b.

Warm Up Find each y-intercept. 1. y = 3x x – 3y = 12 2 –4

Lesson 4 Notes – Graphing in Slope-Intercept Form

You have seen that you can graph a line if you know two points on the line. Another way is to use the point that contains the y-intercept and the slope.

Review of Slope LESSON 10.

Writing Equations From Graphs

4.5: Graphing Equations of Lines

Graphing Linear Inequalities

2.4 Linear Functions: Graphs and Slope

Lines in the Coordinate Plane

Objectives Graph lines and write their equations in slope-intercept and point-slope form. Classify lines as parallel, intersecting, or coinciding.

Lesson 4.4 Objective: To graph a line on a coordinate plane only using the slope and the y-intercept. Essential Question: How can I graph an equation without.

Lines in the Coordinate Plane

You have seen that you can graph a line if you know two points on the line. Another way is to use the point that contains the y-intercept and the slope.

Objectives Graph a line using slope-intercept form.

Objective graph linear equations using slope-intercept form.

Lines in the Coordinate Plane

2.2: Graphing a linear equation

Find the y-intercept and slope

Graphing Functions x f(x) = 2x (2) + 7 = (3) + 7 = 13 4

GRAPHING EQUATIONS OF LINES

Check Homework.

y = mx + b Lesson 8.7 Page 439 Lesson 8.6 Page 398

Graphing using Slope-Intercept Form

Presentation transcript:

MFM 2P Minds On Plot the following points: (5, 7) (-2, 3) (-10, 0) (-8, -5) (0, 6) Using either a whiteboard or graph paper, draw the Cartesian Plane and plot these points

MFM 2P Minds On Determine the coordinates of the points listed below A( ) E( ) F( ) H( )

MFM 2P Lesson 10: Graphing and The Properties of Slope Learning Goals: I can graph a line in the form y = mx + b I can identify if a slope is positive or negative I know the characteristics of parallel slopes

MFM 2P Lesson 10: Graphing and The Properties of Slope

MFM 2P Lesson 10: Graphing and The Properties of Slope

MFM 2P Lesson 10: Graphing and The Properties of Slope

MFM 2P Lesson 10: Graphing and The Properties of Slope Now you try: Identify the slope, rise, run, and the y- intercept from the following equations:

MFM 2P Lesson 10: Graphing and The Properties of Slope We can use this information to graph lines. 1.Start by plotting the y-intercept (b). 2.Count up or down for the rise and then right for the run and make another point 3.Continue counting for the rise and run and making additional points 4.Connect points with a line

MFM 2P Lesson 10: Graphing and The Properties of Slope We can use this information to graph lines. 1.Start by plotting the y-intercept (b). 2.Count up or down for the rise and then right for the run and make another point 3.Continue counting for the rise and run and making additional points 4.Connect points with a line

MFM 2P Lesson 10: Graphing and The Properties of Slope We can use this information to graph lines. 1.Start by plotting the y-intercept (b). 2.Count up or down for the rise and then right for the run and make another point 3.Continue counting for the rise and run and making additional points 4.Connect points with a line

MFM 2P Lesson 10: Graphing and The Properties of Slope Things to remember when graphing lines: Always start by plotting your y - intercept (b) If there is no “b” in your equation, b = 0 If the slope is negative go DOWN from the previous point(instead of up) and then over to the RIGHT. If there is no “x”, m = 0 If there is an x with no number, m = 1

MFM 2P Lesson 10: Graphing and The Properties of Slope Complete worksheet #1 – Graphing Lines When you are finished, bring it in to get it checked. Then get worksheet #2 – Properties of Slope

MFM 2P Lesson 10: Graphing and The Properties of Slope Conclusions: What was the same about your graphs with positive slopes?

MFM 2P Lesson 10: Graphing and The Properties of Slope Conclusions: What was the same about your graphs with negative slopes?

MFM 2P Lesson 10: Graphing and The Properties of Slope Conclusions: What was the same about the two equations paired together in “e”? In “f”? What was the same about their graphs?

MFM 2P Lesson 10: Graphing and The Properties of Slope Conclusions: