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The Slope Of A Line Objective: To find the slope of a line and to graph a line given its slope and a point.
What is slope? There are several definitions, but they are all related. Rate of change
Example y x Distance in miles Time In hours (x 1,y 1 ) (x 2,y 2 ) run = x 1 – x 2 rise = y 1 – y 2 m = rise/run = (y 1 – y 2 )/(x 1 – x 2 ) = miles/hour
Find the slope between the two points (2, 4) and (5, 1) (-3, 1) and (6, 4) (2, 3) and (-1, 3) (-2, 5) and (-2, 7) m = -1 m = 1/3 m = 0 No slope or undefined slope
Theorem The slope of a line in standard form Ax + By = C is -A/B
Point Slope Form y – y 1 = m(x – x 1 ) Variation: y = y 1 + (x – x 1 )m
Graph The Line Passing Through (1,2) with a slope m = ¼ Start by graphing the point (1,2) Since slope is rise over run move up 1 unit and right 4 units
Objective - To find the slope of a line. Slope -The rate of change that determines the direction of a line and how steep it is. Slope = vertical change.
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.
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.
Linear Equations in Two Variables Digital Lesson.
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.
Copyright © 2013, 2009, 2005 Pearson Education, Inc. Section 2.3 The Slope of a Line.
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.
Graphing Lines How To Find THE SLOPE of a Line Given Two Points How To Find THE SLOPE of a Line Given Two Points.
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 =
SLOPE Objectives: Find the slope of a line given the coordinates of two points on the line Graph equations using y=mx+b form.
Goal: By the end of the lesson, students will be able to find the slope of a line from a graph.
Copy in Agenda and add to TOC: –#5 Finding Slope and Y-intercept Given Slope Intercept Form.
Warm up 1. Write the equation of a line with a slope of 3 and a y-intercept of ½. 2. Write the equation of a line with a slope of -2, that passes through.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 3–2) CCSS Then/Now New Vocabulary Key Concept:Slope of a Line Example 1:Find the Slope of a.
Point Slope Equation of a Line. Any time you are given the slope of a line (m) and a point on the line ( x 1, y 1 ) Use the point-slope equation of a.
Main Idea/Vocabulary slope rise run Find the slope of a line.
Motion and Force A. Motion 1. Motion is a change in position 2. Reference points are necessary.
Warm Up Solve each equation for y. 1. 7x + 2y = If 3x = 4y + 12, find y when x = If a line passes through (–5, 0) and (0, 2), then it passes.
Writing Linear Equations Using Slope Intercept Form.
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.
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.
What is motion? An object is in motion when it’s distance from another object changes. What is a reference point? It is an object or place used to determine.
Write equations and graph circles in the coordinate plane. Objectives.
Stack and Subtract/Rise over Run to find slope notes Absent copy Mon 4/15.
Warm Up Find the slope of the line that passes through each pair of points. 1. (3, 6) and (–1, 4) 2. (1, 2) and (6, 1) 3. (4, 6) and (2, –1) 4. (–3, 0)
1.Find the solutions. 2.Find the Vertex and Max (-1, 0) (5, 0) (2, 10)
Holt Geometry 3-6 Lines in the Coordinate Plane Warm Up Substitute the given values of m, x, and y into the equation y = mx + b and solve for b. 1. m =
Do Now Find the value of m undefined0.
Warm Up Determine the anti-derivative. Then differentiate your answer to check your work Evaluate the definite integral: 3.
SLOPE. The slope ( m ) of a line is a measure of how steep or slanted the line is. Just think of the pitch of a roof or steepness of a hill.
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