Graphing with X- and Y-Intercepts

Slides:

Advertisements

Similar presentations

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

Advertisements

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.

X and Y Intercepts.

Warm Up… Solve each equation for y.

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

X-and Y-intercepts. Standard Form (of a linear equation) ax + by = c, where a, b, and c are integers.

Linear Equations Review. Find the slope and y intercept: y + x = -1.

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.

Graph linear functions EXAMPLE 1 Graph the equation. Compare the graph with the graph of y = x. a.a. y = 2x b.b. y = x + 3 SOLUTION a.a. The graphs of.

Use intercepts to graph an equation

Example 1 Find the intercepts of the graph of. Finding Intercepts 2 1 y = x – = x – = x 10 = x STEP 1 Let 0 and solve for x to find the.

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.

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)

7-5 Graphing linear equations Objectives: Graph linear equations by using the x and y intercepts or the slope and y intercept.

Example 2 Graphing Using Slope-Intercept Form 1

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

Graphing Lines Using Slope Intercept Form Goal: Graph lines in slope intercept form.

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

Do Now Given y=7x What is the slope? 2.What is the y-intercept Given f(x)=2 - 3x 1.What is the slope? 2.What is the y-intercept.

Graphing Linear Equations In Standard Form Ax + By = C.

Graphing Function Charts. X Y I Y = 2X + 1 X Y ½ Y - intercept 0, 1 X - intercept -½, 0.

Algebra 1 Section 4.3 Graph Linear Equations by using Intercepts A linear equation (the graph is a line) takes the form Ax + By = C. Which are linear equations?

§ 1.3 Intercepts.

Writing Linear Equations

Using Slopes and Intercepts

13.4 Graphing Lines in Slope-Intercept Form

Slope-Intercept and Standard Form of a Linear Equation.

Today we will graph linear equations in slope intercept form.

Quick Graphs of Linear Equations

Copyright 2012 Davitily.

Graphing Lines Using Intercepts

F-IF.C.7a: Graphing a Line using Slope-Intercept, Part 2

STANDARD FORM OF A LINEAR EQUATION

4.3 Graphing with Intercepts

Graphing Linear Equations Using Intercepts

Standard Form I can identify intercepts from an equation.

F-IF.B.4: Using Intercepts of Linear Equations

Graphs of Equations In Two Variables; Intercepts; Symmetry

Graphing Linear Equations in Standard Form

Linear Functions.

Linear Equations in two variables

3.1 – Graphing Linear Equations

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

Chapter 1: Lesson 1.2 Graphs of Equations

Identifying Graphs of Linear Equations

y=mx + b 4.3 Linear Equations Slope-Intercept Form y = 2x - 5

5.3: Slope-Intercept Form

9.3 – Graphing Linear Equations

Graphing Linear Equations

What is the x-intercept?

Quick Graphs of Linear Equations

EXIT TICKET: Graphing Linear Equations 11/17/2016

Ordered pairs: ( , ) ( , ) ( , ) Ordered pairs: ( , ) ( , ) ( , )

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

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.

Graph 2x + 4y = 16 by finding the x and y intercepts.

Graphing Linear Equations

Do Now 2/6/12 In your notebook, define the word INTERCEPT in your own words. Then graph the equation below by making a table. 2x + 3y = 12. x

Graphing linear equations

Graphing Linear Equations

Graphing Lines Using Intercepts

Graphing Linear Equations

5-3 slope-intercept form

Warm-up # 4 5 −3= Write the slope-intercept form for the equation of the line through (0, 2) that has a slope of 3 4 Write the slope-intercept form for.

6-2 Slope-Intercept Form

Quad Frame Vertex Name: For each equation:

Ch 4.2 & 4.3 Slope-Intercept Method

Graphing using Slope-Intercept Form

Presentation transcript:

Graphing with X- and Y-Intercepts Learn to use x- and y-intercepts to graph linear equations.

You can graph a linear equation easily by finding the x-intercept and the y-intercept. The x-intercept of a line is the value of x where the line crosses the x-axis (where y = 0). The y-intercept of a line is the value of y where the line crosses the y-axis (where x = 0).

Find the x-intercept and y-intercept of the line y = 4x + 4 Find the x-intercept and y-intercept of the line y = 4x + 4. Use the intercepts to graph the equation. Find the x-intercept (?, 0). y = 4x + 4 Find the y-intercept (0, ?). (0) = 4x + 4 y = 4x + 4 -4 - 4 y = 4(0) + 4 -4 = 4x y = 4 -1 = x The x-intercept is (-1, 0). The y-intercept is (0, 4).

Plot both intercepts on the graph and draw in the line. The graph of y = 4x + 4 is the line that crosses the x-axis at the point (-1, 0) and the y-axis at the point (0, 4).

Find the x-intercept and y-intercept of the line y = -3x - 6 Find the x-intercept and y-intercept of the line y = -3x - 6. Use the intercepts to graph the equation. Find the x-intercept (?, 0). Find the y-intercept (0, ?). y = -3x - 6 (0) = -3x - 6 y = -3x - 6 +6 _ +6 y = -3(0) - 6 6 = -3x y = -6 -2 = x The x-intercept is (-2, 0). The y-intercept is (0, -6).

Plot both intercepts on the graph and draw in the line. The graph of y = -3x – 6 is the line that crosses the x-axis at the point (-2, 0) and the y-axis at the point (0, –6).

Find the x-intercept and y-intercept of the line y = 18 – 6x Find the x-intercept and y-intercept of the line y = 18 – 6x. Use the intercepts to graph the equation. Find the x-intercept (?, 0). y = 18 – 6x Find the y-intercept (0, ?). (0)= 18 – 6x y = 18 – 6x 0 = 18 – 6x y = 18 – 6(0) -18 -18 y = 18 -18 = – 6x x = 3 The y-intercept is (0,18). The x-intercept is (3, 0).

Plot both intercepts on the graph and draw in the line. The graph of y = 18 – 6x is the line that crosses the x-axis at the point (3, 0) and the y-axis at the point (0, 18).