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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
1 3 2 4 5 -3 -2 -4 -5 -3-2-4-513245 x y
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
Objective - To graph linear equations using the slope and y-intercept.
Parallel & Perpendicular Slopes II
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
2.4 Writing the Equation of a Line
The Linear Function.
EXAMPLE 1 Write an equation of a line from a graph
2-3 Slope Slope indicates the steepness of a line.
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.
2.2 Linear Equations.
The equation of a line - Equation of a line - Slope - Y intercept
Algebra II Chapter 2 section 2 Lets get linear. For a function to be linear In a table, differences between ranges the same as long as differences between.
2.4 Write Equations of Lines
3-5 Lines in the coordinate plane M11. B
Linear Equations Review. Find the slope and y intercept: y + x = -1.
Warm-Up On the same coordinate plane… ▫Graph the equation y=2x +3 ▫Graph the equation y=2x ▫Graph the equation y= - ½x + 1 What do you notice about the.
Determining if Lines are Parallel or Perpendicular Parallel linesPerpendicular lines Slopes are the same Slopes are opposite reciprocals (assume no vertical.
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)
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)
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