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3-5 Lines in the coordinate plane M11. B. 2. 2. 3. 11Lines in the coordinate plane M11.B A Objectives: 1)To graph lines given their equations 2) To write equations of lines
Vocabulary The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept. Example: Y = 2x + 3 Y = 2x – 1 Y = 2x – 4
Example: Graph Lines in Slope-Intercept Formy = -2x + 4 y = ½ x -3 y = ¾ x
Vocabulary Standard Form of a Linear Equation – is Ax + By = C, where A, B, and C are real numbers, and A and B are not both zero. Example: Find A, B and C. -3x + 2y = 12
Example: Graphing Lines Using InterceptsUse the x and y intercept to graph 4x – 6y =24 “Hide and Divide”
Example: Graphing Lines Using InterceptsGraph -2x + 4y = -8 Graph 5x – 6y = 30
Example: Transforming from Standard Form to Slope-Intercept FormGraph -6x + 3y = 12
Graph using Slope-Intercept Form-5x + y = -3 -6x – 3y = 12
Vocabulary Point – Slope form – used for a nonvertical line through point (x₁ , y₁) where m = slope. y – y₁ = m( x – x₁)
Example: Using Point – Slope FormWrite an equation of the line through point (3, 6) and with a slope of -8.
Using Point-Slope FormExample: Write an equation of the line with slope -1 that contains point P(2, -4)
Slope Formula Given two points: (x1, y1) and (x2, y2) m = y2 – y1x2 – x1 Example: Find the slope of (3, -2) and (-5, 6)
Example: Equation of a Line Given Two PointsWrite an equation of the line through points G( 4, -9 ) and H( -1, 1).
Equation of a Line Given Two PointsWrite an equation of the line that contains the points P(5, 0) and Q(7, -3).
Slopes of Special LinesWhat is the slope of a horizontal line and a vertical line?
Example: Equation of Horizontal & Vertical LinesWrite equations for the horizontal line and the vertical line that contains P(3, 2).
Equations of Horizontal and Vertical LinesWrite equations of the horizontal and vertical lines that contain the point P(5, -1)
Objective - To graph linear equations using the slope and y-intercept.
Section 3-5 Lines in the Coordinate Plane SPI 21C: apply concept of rate of change to solve real-world problems SPI 21D:
3.7 Equations of Lines in the Coordinate Plane
Writing Linear Equations Using Slope Intercept Form
Linear Equations By: Emily Zhou.
Equation of a line y = m x + b
2.4 Writing the Equation of a Line
The Linear Function.
U1B L2 Reviewing Linear Functions
Graph a linear equation Graph: 2x – 3y = -12 Solve for y so the equation looks like y = mx + b - 3y = -2x – 12 Subtract 2x to both sides. y = x + 4 Divide.
Graph Linear Systems Written in Standard Form
Don’t forget to show your work!. Slope-Intercept Form Section 3.6.
Linear Equations Review. Find the slope and y intercept: y + x = -1.
Section 2.3 – Linear Functions and Slope-Intercept Form Consider a nonvertical line in the coordinate plane. If you move from any point on the line to.
3.5 Lines in the Coordinate Plane
Writing equations in slope intercept form
Slope and Linear Equations
2.6 – Vertical and Horizontal Translations
Rates of Change (Slope)
Relation Input Output Function Domain Range Scatter Plot Linear Equation x - intercept y- intercept Slope Rise Run.
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