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Slope-Intercept Form Section 3.6
Overview Using the y-intercept and the Slope to Graph a Line Equations in Slope-Intercept Form Graphing and Slope-Intercept Form Parallel and Perpendicular Lines
Graphing Lines Graphing by calculating two of more points Graphing without calculating y = mx + b
Using the y-intercept and the Slope to Graph a Line Calculating slope –Change in y divided by change in x –Rise over run Finding y-intercept
Equations in Slope-Intercept Form Standard form of a linear equation Alternate form Slope-intercept equation
Graphing and Slope-Intercept Form Graph y = (¾) x + 5 Graph 2x + 3y = 3
Parallel and Perpendicular Lines Look at slope Parallel – slope are same Perpendicular – Product of slopes is –1 (or one is vertical and the other is horizontal)
Try This Write slope-intercept equation for a line that: –Has y-intercept (0, -1) and is parallel to 2x – 3y = 7 –Has y-intercept (0, -1) and is perpendicular to 2x – 3y = 7
EXAMPLE 1 Write an equation of a line from a graph SOLUTION m 4 – (– 2) 0 – 3 = 6 – 3 = = – 2 STEP 2 Find the y -intercept. The line intersects the y -axis.
UNIT 1B LESSON 2 REVIEW OF LINEAR FUNCTIONS. Equations of Lines The horizontal line through the point (2, 3) has equation The vertical line through the.
3.7 Equations of Lines in the Coordinate Plane The slope m of a line is the ratio `of the vertical change (rise) to the horizontal change (run) between.
Algebra II w/ trig. Slope(m) is the ratio change in a vertical direction to the corresponding change in the horizontal direction. m = Where (x 1.
2-3 Slope Slope 4 indicates the steepness of a line. 4 is “the change in y over the change in x” (vertical over horizontal). 4 is the ‘m’ in y = mx + b.
Section 3-5 Lines in the Coordinate Plane SPI 21C: apply concept of rate of change to solve real-world problems SPI 21D: determine the slope given a graph.
1.3Linear Equations in Two Variables Slope of a Line Find the slope of the lines passing through… a.(-2,0) and (3,1) b.(-1,2) and (2,2) c.(4,-3) and (4,5)
Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.
2.4 Writing the Equation of a Line. Review of Slope-Intercept Form The slope-intercept form of a linear equation is y = mx + b. m represents the slope.
Writing Linear Equations Using Slope Intercept Form.
Bellringer. Chapter 6: Section 5 Parallel and Perpendicular Lines.
Parallel & Perpendicular Slopes II Unit 6. Warm Up Which of these lines are parallel? Why? Which are perpendicular? Why? a) y = 2x + 3 b) y = 2x + 3 c)
GOAL 1 SLOPE OF PERPENDICULAR LINES 3.7 Perpendicular Lines in the Coordinate Plane Slopes of Perpendicular Lines Two nonvertical lines are perpendicular.
Writing Equations of a Line. Various Forms of an Equation of a Line. Gradient-Intercept Form Standard Form Point-Gradient Form.
1.4 Linear Equations in Two Variables. Definition of Slope The slope of the line through the distinct points (x 1, y 1 ) and (x 2, y 2 ) is where x 2.
4.7 Graphing Lines Using Slope Intercept Form Goal: Graph lines in slope intercept form.
Linear Equations in Two Variables Digital Lesson.
Y x Objective - To graph linear equations using the slope and y-intercept. x Complete the table and graph y-intercept b = -1 Slope-Intercept.
4.2 Graphing Linear Equations. Solution of a Linear Equation Is an ordered pair (x, y) that makes the equation true. Example: Determine whether the ordered.
First let’s review 5.1 Write the equation in slope-intercept form, given m = 3 ang b = (0,-2) Example m = 3, b = (0,-2) y = __ x + ___ y = mx + b.
Lines, Lines, Lines!!! ~ Parallel & Perpendicular Lines Lines, Lines, Lines!!! ~ Parallel & Perpendicular Lines.
Lesson 10 Equation of a line y = m x + b. (-3,2) (4,-3) Graph point (-3,2) Graph point 4,-3) Draw line Draw vertical side of triangle Draw horizontal.
LINEAR EQUATIONS MSJC ~ Menifee Valley Campus Math Center Workshop Series Janice Levasseur.
Warm up Write the equation of the line passing through the given point with the given slope. Then graph the line. 1. (-4, -3), m = 2. (8, 2), m =
Copyright © 2013, 2009, 2005 Pearson Education, Inc. Section 2.4 Equations of Lines and Linear Models.
Parallel Lines. We have seen that parallel lines have the same slope.
Do Now 1. If f(x) = │ (x² – 50) │, what is the value of f(-5) ? A. 75 B. 25 C. 0 D. -25 E ( √2 - √3 )² = A √6 B. 5 - √6 C √6 D. 1 -
WRITING AN EQUATION OF A LINE DETERMINE THE EQUATION OF A LINE AND/OR GRAPH A LINEAR EQUATION.
Pre-Algebra 11-2 Slope of a Line 11-2 Slope of a Line Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
Graphing Linear Inequalities in Two Variables Objective: Graph all of the solutions to a linear inequality NCSCOS: 1.02, 3.03, 4.01.
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