Algebra – Linear Functions By the end of this lesson you will be able to identify and calculate the following: 1. The x- and y-intercept method.

Slides:



Advertisements
Similar presentations
X and Y intercepts. X-intercept: The point where a line crosses the x-axis. The coordinates are ( x, 0) where x is any number on the x-axis Y-intercept:
Advertisements

ALGEBRA 1 CC Find Slope and x- and y-intercepts. Vocabulary The slope of a nonvertical line is the ratio of the vertical change (the rise) to the horizontal.
Jeopardy Graphing Equations Writing Equations Linear or Not? Perpendicular And Parallel Random Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300.
Slope Intercept Form Y intercept The y-intercept is the point where a line crosses the y axis. At this point the value of x is 0. To find the y-intercept,
Slope Intercept Form.
Notes Over 4.3 Finding Intercepts Find the x-intercept of the graph of the equation. x-intercept y-intercept The x value when y is equal to 0. Place where.
The slope-intercept form of a line: y = mx + b. Graph the following family of lines using the graphing calculator: 1.y = 3x y = 5x y = -4.
Math 0099 Finding Slope, X-Intercept, and Y- Intercept.
Graph Using Slope- Intercept Form Section 4.5 Math 2 Mr. Keltner.
Linear Functions.
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.
Sullivan Algebra and Trigonometry: Section 2.2 Graphs of Equations Objectives Graph Equations by Plotting Points Find Intercepts from a Graph Find Intercepts.
Lesson 2.5 AIM: Graphing Slope Intercept Form. SLOPE INTERCEPT FORM y = mx + b m = slope (how steep the line is) b = y-intercept (where it crosses the.
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.
Quadratic Functions.
Writing Linear Equations Group Competition. State the Slope and Y-Intercept #1.
Example 1 Identifying Slopes and y-intercepts Find the slope and y -intercept of the graph of the equation. ANSWER The line has a slope of 1 and a y -intercept.
MTH 070 Elementary Algebra I
3.2 Intercepts. Intercepts X-intercept is the x- coordinate of a point when the graph cuts the x-axis Y-intercept is the y- coordinate of a point when.
EXAMPLE 3 Write an equation of a line given two points
Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.2 Linear Functions and Their Graphs.
8-3 & 8-4: Graphing Linear Functions Mr. Gallo. Graphing Linear Functions  Linear Function:  The graph of this function is a ____________ _______. 
HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Hawkes Learning Systems: College Algebra.
Lesson 2: The Equation of a Line The Equation of a Line is: y = mx + b Where m is the slope And b is the y-intercept.
1. A line passes through (3, 5) and (6, 14). What is the equation of the line in point-slope form? 2. Write an equation of a line parallel to -3x + y =
ALGEBRA 1 Lesson 6-1 Warm-Up. ALGEBRA 1 “Solving Systems by Graphing” (6-1) What is a “system of linear equations”? What is the “solution of the system.
Algebra 2 Lesson 2-4 Writing Linear Equations. Different Forms of Linear Equations Slope-intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope.
What is the x-intercept? The x-coordinate of a point where the graph crosses the x- axis. What is the y-intercept? The y-coordinate of a point where a.
Find the x and y intercepts of each graph. Then write the equation of the line. x-intercept: y-intercept: Slope: Equation:
Quadratic Functions and Their Graphs
WRITING LINEAR EQUATIONS FINDING THE X-INTERCEPT AND Y- INTERCEPT.
2.3 Graphing Linear Equations in Slope-Intercept Form.
Today’s Goal By the end of the period you will be able to: find the x- and y-intercepts of linear equations.
X and Y Intercepts.
Algebra – Linear Functions By the end of this lesson you will be able to identify and calculate the following: 1. Find 1. Find the gradient of a line from.
MATH Precalculus S. Rook
Determine if the following point is on the graph of the equation. 2x – y = 6; (2, 3) Step 1: Plug the given points into the given equation. 2(2) – (3)
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!!!!!!!!!!!!!!!!!!!!!!!!!
Graphing Test Review Algebra.
(409)539-MATH THE MATH ACADEMY (409)539-MATH.
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.
7.3 – Writing Equations in Slope Intercept Form Objective(s): to write a linear equation in slope-intercept form given the slope and y-intercept Standard(s):
Writing Linear Equations (Slope- Intercept Form).
Warm Up 1) 2). Finding the slope of a line given a graph.
Tues 10/8 Lesson Review Learning Objective: To remember everything in Ch 2! Hw: Extra Practice WS #
Linear Functions and Slope
Warm – up #4 1. A line passes through (3, 5) and (6, 14). What is the equation of the line in point- slope form? 2. Write an equation of a line parallel.
Algebra – Linear Functions By the end of this lesson you will be able to identify and calculate the following: 1. The gradient–intercept method.
Graphing Linear Equations In Standard Form Ax + By = C.
3.3 Graph Using Intercepts You will graph a linear equation using intercepts. Essential question: How do you use intercepts to graph equations? You will.
Unit 3. Day 10 Practice Graph Using Intercepts.  Find the x-intercept and the y-intercept of the graph of the equation. x + 3y = 15 Question 1:
+ Lesson 5.1 Writing Linear Equations in Slope-Intercept Form (Function Form)
Algebra – Linear Functions By the end of this lesson you will be able to identify and calculate the following: 1. Finding the equation of a straight line.
Linear Graphs and Modelling Plotting straight line graphs Plotting linear graphs on the calculator Finding gradients of straight lines Equations of straight.
Graphing Points & Lines Sections covered: 1.8 The Coordinate Plane 3.6 Lines in the Coordinate Plane.
Coordinate Systems Graphing.
LESSON 4.1 – WRITING EQUATIONS IN SLOPE-INTERCEPT FORM Learning Goal: Students will be able to write equations in slope- intercept form and use linear.
Algebra 1 Foundations, pg 338  Students will be able to write and graph linear equations using point-slope form.
Slope Intercept Form Section 5-4.
Finding the Slope Algebraically. Objectives I am learning how to write linear equations in the slope-intercept format. I am learning how to calculate.
Writing the equation of a line
Writing Linear Equations
Slope-Intercept and Standard Form of a Linear Equation.
CHAPTER 8 Intercepts and Slope-Intercept Form
Sketch the graph/ Write the equation YoungMath Presents
The slope-intercept form of a line: y = mx + b
5-Minute Check Lesson 1-3A
Equations of straight lines
ALGEBRA I - REVIEW FOR TEST 2-1
Y X Equation of Lines.
Presentation transcript:

Algebra – Linear Functions By the end of this lesson you will be able to identify and calculate the following: 1. The x- and y-intercept method

 The x- and y-intercept method  Observe that any oblique (sloping) line crosses both axes at the points known as the x-intercept and the y-intercept. Furthermore, the x-intercept and the y-intercept are two distinct points and so can be used to determine the linear graph.

 The only exception is the case of lines passing through the origin. These lines go through each axis at x = 0 and at y = 0; therefore the origin (0, 0) is the single point, which represents both intercepts.  Since we need two points to sketch the line, in the case of the lines passing through the origin, we can use only the gradient–intercept method. In all other cases we can also use the x- and y- intercept method. To sketch the line, using this method, follow these steps.

 Your turn…  Complete - Questions 2 – 5 all - Skill Sheet Skill Sheet 6.10 Exercises and Skill Sheets are in your booklets All questions are to be answered in your math book!