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3.5 Lines in the Coordinate PlaneChapter 3: Parallel and Perpendicular Lines
3.5 Lines in the Coordinate PlaneSlope-Intercept Form: y = mx + b m: slope b: y-intercept (x, y): point
Slope-Intercept Form Identify the slope and y-intercept for each:a. y = 3x b. y = -2x + 5 c. y = ½x – 5 d. y = 3x – ½ e. y = -5x – 4 f. y = 0.2x + 0.7
Graphing Lines in Slope-Intercept FormGraph the line y = 3/4x + 2 m = b = Graph the line y = x + 2 m = b = Graph the line y = 3x + 4
Graphing Lines in Slope-Intercept FormGraph the line y = -½x – 2 m = b = Graph the line y = ½x – 1 Graph the line y = -5/3 x + 2 m = b =
Standard Form Ax + By = C (3x + 2y = 5)To Graph from Standard Form, find the x- and y- intercepts: To find the x-intercept, plug in 0 for y. To find the y-intercept, plug in 0 for x.
Graphing Using InterceptsGraph 6x + 3y = 12 Find the x-intercept: Find the y-intercept:
Graphing Using InterceptsGraph -2x + 4y = -8 Find the x-intercept: Find the y-intercept:
Transforming to Slope-Intercept FormGraph 4x – 2y = 9, using slope-intercept form:
Transforming to Slope-Intercept FormGraph -5x + y = -3, using slope-intercept form:
Write each equation in slope-intercept form and graph the line:y = 2x + 1 y – 1 = x y + 2x =4 8x + 4y = 16 2x + 6y = 6 ¾x – ½y = 1/8
Point-Slope Form y – y1 = m(x – x1)(1, 3) and slope 2: (y – 3) = 2(x – 1)
Using Point-Slope FormWrite an equation of the line through point P(-1, 4) with slope 3. y – y1 = m(x – x1) y – y1 = m(x – x1)
Using Point-Slope FormWrite an equation of the line through point P(2, -4) with slope -1.
Write an equation of the line in point-slope form:P(2, 3), slope = 2 I(4, -1), slope = 3 R(-2, -6), slope = -4 A(6, 1), slope = ½ T(-3, 5), slope -1 E(0, 4), slope 1
Writing an Equation of a Line Given Two Points:Write an equation of the line through A(-2,3) and B(1,-1): Find the slope: Use one point and write the equation in point-slope form:
Writing an Equation of a Line Given Two Points:Write an equation of the line through P(5,0) and Q(7,-3) Find the slope: Use one point and write the equation in point-slope form:
Write an equation in point-slope form of the line that contains the given points:D(0,5) E(5,8) F(6,2) G(2,4) H(2,6) I(-1,3) J(-4,4) K(2,10) L(-1,0) M(-3,-1) N(8,10) O(-4,2)
Equations of Horizontal and Vertical Lines:A Horizontal Line cuts through the y-axis, so the equation is y = A Vertical Line cuts through the x-axis, so the equation is x = y = 4 x = 3
Equations of Horizontal and Vertical Lines:Write the Equations of the Horizontal and Vertical line that goes through the point: (3, 2) Horizontal: Vertical: (4, 7) Horizontal: (2, 6) Horizontal:
Homework pg 155 1-37all Workbook 3.5 AllShow all work on a separate sheet of paper
Objective: Use slope-intercept form and standard form to graph equations. 2.4 Quick Graphs of Linear Equations.
Write and Graph Equations of Lines
~ Chapter 6 ~ Algebra I Algebra I Solving Equations
Graphing Lines Dr. Carol A. Marinas.
Slope – Intercept Form What do all the points on the y-axis have in common? What do all the points on the x-axis have in common?
2.5 Linear Equations. Graphing using table Graphing using slope and y-intercept (section 2.4) Graphing using x-intercept and y-intercept (section 2.5)
Slope-Intercept and Point-Slope Forms of a Linear Equation
Do Now Find the slope of the line passing through the given points. 1)( 3, – 2) and (4, 5) 2)(2, – 7) and (– 1, 4)
WRITING AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.
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.
Slope-Intercept and Point-Slope Forms of a Linear Equation.
3.1 – Paired Data and The Rectangular Coordinate System
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.
Rates of Change (Slope)
Writing Linear Equation using slope-intercept form.
Parallel and Perpendicular Lines Chap 4 Supplemental Lecture.
2.2: Do Now: Determine if the following point is on the graph. 1.) 2.)
Goal: Write a linear equation.. 1. Given the equation of the line 2x – 5y = 15, solve the equation for y and identify the slope of the line. 2. What.
Section 1.1 Slopes and Equations of Lines
Day Problems Graph each equation.
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