STRAIGHT LINE GRAPHS y = mx + c.

Slides:

Advertisements

Similar presentations

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

Advertisements

Today’s Objective To be able to find the x and y intercepts of an equation and use them to draw a quick graph.

WARM UP 1. Explain how to graph a linear equation written in slope-intercept form. 2. Explain how to graph a linear equation written in point-slope form.

Positive Gradient the s_ _ _ _ ness of the slope and the direction – UP (SW to NE)

Writing Linear Equations Using Slope Intercept Form

L7 Teacher's Notes Topic: Alg - y=mx+c Draw a different straight line... and another, and another... Find an unusual one (eg it crosses the y-axis at 3.7,

X and Y Intercepts.

The table and graph suggest another method of graphing a linear equation. This method is based on two numbers. The SLOPE This is the coefficient of x.

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:

Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis.

 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.

Gradient and Intercept. Intercept When the number in front of the x is the SAME all the lines are PARALLEL. The lines cross the y-axis (vertical axis)

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.

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.

Use intercepts to graph an equation

X AND Y INTERCEPTS. INTERCEPT  In a function, an intercept is the point at which the graph of the line crosses an axis.  If it crosses the y-axis it.

x y Straight Line Graphs m gives the gradient of the line and.

SOLUTION STEP 1 Use intercepts to graph an equation EXAMPLE 2 Graph the equation x + 2y = 4. x + 2y = 4 x =  x- intercept 4 Find the intercepts. x + 2(0)

Whiteboardmaths.com © 2004 All rights reserved

Straight Line Graphs Revision session: How to draw a line Using y = mx + c Parallel lines.

Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line.

Example 2 Graphing Using Slope-Intercept Form 1

The y-intercept and slope-intercept form/ Writing linear equations from graphs. 1/11/15.

Chapter 16 Graphs. Learning Outcomes Draw straight line graphs Draw special horizontal & vertical graphs Recognise the gradient & y-intercept from an.

Writing equations given 2 points on the line. Write the equation of the line that goes through the points (1, 6) and (3, -4) m = y₂ - y₁ x₂ - x₁ -4 -

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.

Writing Linear Equations

Slope-Intercept and Standard Form of a Linear Equation.

Unit 2 Day 3: Graphing Using Slope-Intercept Form

Today we will graph linear equations in slope intercept form.

Writing Linear Equations in Slope-Intercept Form

Slope-intercept form.

Equations of Lines.

Straight Lines Objectives:

Write an Equation in Slope-Intercept Form

Straight Line Graphs 10/11/2018

Equations of straight lines

Remember graphs are read from left to right like a book

Writing Linear Equations When Given a Point and the Slope

Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis.

Objective The student will be able to:

Identifying Graphs of Linear Equations

Graphing Linear Equations

5.3: Slope-Intercept Form

3.5 Write and Graph Equations of Lines

Goteachmaths.co.uk Identifying y=mx+c.

What is the x-intercept?

Writing Linear Equations When Given Two Points on the Line

Quick Graphs of Linear Equations

Writing the Equation of a Line

Maths Unit 7 – Coordinates and real life graphs

Straight Line Graphs.

Graph 3x + y = 6 by making a “T” Table and graphing the line.

Graphing Linear Equations

Equation of a straight line from a graph

Millburn Academy Maths department Higher Equation of a Line y = mx + c.

Slope-intercept Form of Equations of Straight Lines

Section 8.3 Part 2 Slope and y-intercept pages

Drawing other standard graphs

Graphing with X- and Y-Intercepts

5-3 slope-intercept form

Using “T” Tables & Graphing Intercepts

6-2 Slope-Intercept Form

Coordinates Picture For each instruction, join up the coordinates.

Graphing using Slope-Intercept Form

Maths Unit 8 – Coordinates & Real Life Graphs

Maths Unit 9 (F) – Coordinates & Real Life Graphs

Graphing Linear Equations

Presentation transcript:

STRAIGHT LINE GRAPHS y = mx + c

STRAIGHT LINE GRAPHS ALL are of the form y = mx +c m is the GRADIENT of the line c is the ‘y intercept’

STRAIGHT LINE GRAPHS We must to be able to DRAW THE GRAPHS FIND THE EQUATION FROM A GRAPH

STRAIGHT LINE GRAPHS DRAWING THE GRAPHS WE NEED TO IDENTIFY TWO POINTS POINT 1 IS THE y INTERCEPT POINT 2 IS FOUND BY SUBSTITUTING A VALUE FOR x INTO THE FUNCTION DRAWING THE GRAPHS

If we use the example y = 3x - 1 STRAIGHT LINE GRAPHS If we use the example y = 3x - 1 The y intercept is -1 REMEMBER (y = mx + c) So point 1 is (0,-1) If we substitute x = 1 then y = 3 - 1 so y = 2 So point 2 is (1,2)

STRAIGHT LINE GRAPHS NOTE THE TWO POINTS CHOSEN THE FINISHED GRAPH LOOKS LIKE THIS NOTE THE TWO POINTS CHOSEN

NOW WE MUST LEARN HOW TO FIND AN EQUATION FROM A GRAPH STRAIGHT LINE GRAPHS NOW WE MUST LEARN HOW TO FIND AN EQUATION FROM A GRAPH

STRAIGHT LINE GRAPHS SO ‘C’ IS -4 IF WE USE THIS GRAPH WE CAN SEE THAT THE LINE CROSSES THE Y AXIS AT THE POINT (0,-4) SO ‘C’ IS -4

STRAIGHT LINE GRAPHS The gradient (m) is defined as

STRAIGHT LINE GRAPHS We need to find m (the gradient) We need to find the change in y We need to find the change in x The change in y is 4 The change in x is 2

STRAIGHT LINE GRAPHS So m = 2 Since the gradient is defined as

We know the equation of the line is STRAIGHT LINE GRAPHS STRAIGHT LINE GRAPHS As y = mx + c We know the equation of the line is y = 2x - 4

STRAIGHT LINE GRAPHS Click here to draw graphs Click here to re-start the presentation