Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Slope-intercept form An equation of the form y = mx + b, where m is the slope and b is the.

Slides:



Advertisements
Similar presentations
3.7 Equations of Lines in the Coordinate Plane
Advertisements

The Linear Function.
3-5 Lines in the coordinate plane M11. B
2.4 Graphing Linear Equation Sept 4, Y-intercept a point where a graph intersects the y-axis Vocabulary equation written in the form Ax + By = C.
Vocabulary Chapter 5. The phrase meaning the relationship between two changing quantities is the.
Cartesian Plane and Linear Equations in Two Variables
Warm Up 0?1? 2? Graph the linear functions.0?1? 2?
Section 2.3 – Linear Functions and Slope-Intercept Form Consider a nonvertical line in the coordinate plane. If you move from any point on the line to.
3.5 Lines in the Coordinate Plane
Rectangular Coordinate System
Slope – Intercept Form What do all the points on the y-axis have in common? What do all the points on the x-axis have in common?
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)
Bell Work Solve for “y” 1.) 3x – 2y = -8 2.) 5x – y + 12 = 3x ) 3x – 4y = -7y – 12.
Slope-Intercept Form Page 22 10/15. Vocabulary y-Intercept: the point at which a function crosses the y-axis (0, y) x-intercept: the point at which a.
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.
Essential Question: What do you need to know in order to write the equation of a line in slope-intercept form?
FUNDAMENTALS OF ALGEBRA 1A CHAPTER 10 POWERPOINT PRESENTATION GRAPHING.
Gold Day – 2/24/2015 Blue Day – 2/25/2015.  Unit 5 – Linear functions and Applications  Review – slope, slope intercept form  Standard Form  Finding.
Slope-Intercept and Point-Slope Forms of a Linear Equation.
Finding the Slopes of Lines Lines and Their Slopes.
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.
Graphing Linear Equations Including Horizontal and Vertical Lines Presley Lozano, Chloe Husain, and Savannah Nguyen.
Chapter 1 Linear Equations and Graphs Section 2 Graphs and Lines.
Creating and Graphing Linear Equations in Two Variables ~Adapted from Walch Education.
Graphing Linear Equations
Chapter 1 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc Linear Functions and Slope.
Relation Input Output Function Domain Range Scatter Plot Linear Equation x - intercept y- intercept Slope Rise Run.
Graphing Linear Equations. Linear Equation An equation for which the graph is a line.
Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.2 Linear Functions and Their Graphs.
Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept.
Section 2.2 Notes: Linear Relations and Functions.
1 Learning Objectives for Section 1.2 Graphs and Lines The student will be able to identify and work with the Cartesian coordinate system. The student.
Chapter 5 LINEAR FUNCTIONS. Section 5-1 LINEAR FUNCTION – A function whose graph forms a straight line.  Linear functions can describe many real- world.
What is a Line? A line is the set of points forming a straight path on a plane The slant (slope) between any two points on a line is always equal A line.
Chapter 8 Review.
Slope of a Line Chapter 7.3. Slope of a Line m = y 2 – y 1 x 2 – x 1 m = rise run m = change in y change in x Given two points (x 1, y 1 ) and (x 2, y.
2.4 Graphing Linear Equation Sept 12, Y-intercept a point where a graph intersects the y-axis Vocabulary equation written in the form Ax + By =
Slide Copyright © 2009 Pearson Education, Inc. 4.1 Variation.
SLOPE. What does slope measure? Slope measures the steepness of a line.
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.
© 2010 Pearson Prentice Hall. All rights reserved. CHAPTER 7 Algebra: Graphs, Functions, and Linear Systems.
1.2 Slopes and Intercepts Objectives: Graph a linear equation. Write a linear equation for a given line in the coordinate plane. Standards: K Apply.
Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.
Activity 1.6 Depreciation. In your groups… Read page 51 Complete exercises 1 and 2 in your groups Don’t forget –Average rate of change is –UNITS!!!!!!!!!!!!!!!!!!!!!!!!!
Section 8.2 Points, Lines and Their Graphs. Vocabulary Graph/Plot – an ordered pair or a point in a numbered plane Horizontal Axis – x-axis Vertical Axis.
MTH 091 Section 13.3 Graphing with x- and y-intercepts Section 13.4 Slope.
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.
Chapter 2 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc Linear Functions and Slope.
2.3 Linear Functions and Slope-Intercept Form The slope of a nonvertical line is the ratio of the vertical change to the horizontal change between two.
GRAPHING ON A COORDINATE PLANE. VOCABULARY Coordinate system- a system which uses one or more numbers or coordinates, to uniquely determine the position.
2.4 Linear Functions and Slope
Graphing Linear Equations
Chapter 7 Graphing Linear Equations REVIEW. Section 7.1 Cartesian Coordinate System is formed by two axes drawn perpendicular to each other. Origin is.
Linear Functions and Slope
Visualizing Data Section 2.3
Lines in the Plane Prerequisite Chapter Section 4.
Warm Up If f(x)= 3x 2 + 2x, find f(3) and f(-2). Check Yourself! If g(x)= 4x 2 – 8x + 2 find g(-3)
College Algebra Chapter 2 Functions and Graphs Section 2.4 Linear Equations in Two Variables and Linear Functions.
LINEAR EQUATIONS FOLDABLE. Title Page Put a title on the top tab. Unit 2: Linear Equations and Their Graphs Put your name in one corner of this layer.
Slopes 8 th Grade Math Presented by Mr. Laws. CCSS Standard 8.F.3 - Interpret the equation y = mx + b as defining a linear function, whose graph is a.
Distance On a coordinate plane Finding the length of a line segment.
Lines in the Coordinate Plane
Equations of Lines in the Coordinate Plane
Coordinate Plane Sections 1.3,
Warm Up – August 15, Does y vary directly with x? If so, what is the constant of variation and the function rule? 2. Determine whether y varies.
Slope = m = rate of change
Section 3.3 The Slope of a Line.
Ch 12.1 Graph Linear Equations
Warm-Up
Presentation transcript:

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Slope-intercept form An equation of the form y = mx + b, where m is the slope and b is the y-intercept.

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Linear equation An equation that makes a straight line when it is graphed.

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Rise The vertical change between two point on the graph of a line.

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Run The horizontal change between two points on the graph of a line.

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Slope The ratio of change in the vertical axis (y-axis) to change in the horizontal axis (x-axis). 3 -4

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. X-intercept The value of x at the point where a line or graph intersects the x-axis. The value of y is zero (0) at this point.

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Y-intercept The value of y at the point where a line or graph intersects the y-axis. The value of x is zero (0) at this point.

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Linear function A function that can be graphically represented on the coordinate plane by a straight line.

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Positive association A relationship in paired data in which the value of both variables tend to increase or decrease together. as the values for x increase, so do the values for f(x). (-1,-3) (2,3)

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Negative association A relationship in paired data in which the value of one variable tends to increase when the other increases, and vice-versa. -23 (-2,3) (2,-1) as the values for x increase, the values for f(x) decrease.

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Non-linear function A function whose graph does not form a straight line

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Step function A special type of function whose graph is a series of line segments.