algebra 1 cc graphing and writing equations in slope- intercept form
TRANSCRIPT
![Page 1: ALGEBRA 1 CC Graphing and Writing Equations in Slope- Intercept Form](https://reader035.vdocument.in/reader035/viewer/2022080914/56649d0e5503460f949e4159/html5/thumbnails/1.jpg)
ALGEBRA 1 CCGraphing and Writing Equations in Slope-Intercept Form
![Page 2: ALGEBRA 1 CC Graphing and Writing Equations in Slope- Intercept Form](https://reader035.vdocument.in/reader035/viewer/2022080914/56649d0e5503460f949e4159/html5/thumbnails/2.jpg)
• The three forms of writing a linear equation that we will cover this week
• Slope-Intercept form
• Standard Form
• Point-Slope Form
y mx b
Ax By C
1 1y y m x x
![Page 3: ALGEBRA 1 CC Graphing and Writing Equations in Slope- Intercept Form](https://reader035.vdocument.in/reader035/viewer/2022080914/56649d0e5503460f949e4159/html5/thumbnails/3.jpg)
Example 1• Write an equation of the line shown
![Page 4: ALGEBRA 1 CC Graphing and Writing Equations in Slope- Intercept Form](https://reader035.vdocument.in/reader035/viewer/2022080914/56649d0e5503460f949e4159/html5/thumbnails/4.jpg)
Example 2• Write an equation of the line that passes through the
points (4, -2) and (-2, 2)
![Page 5: ALGEBRA 1 CC Graphing and Writing Equations in Slope- Intercept Form](https://reader035.vdocument.in/reader035/viewer/2022080914/56649d0e5503460f949e4159/html5/thumbnails/5.jpg)
Example 3• Write the equation of the line that passes through the
point (-4, -9) and has a slope of 2.
![Page 6: ALGEBRA 1 CC Graphing and Writing Equations in Slope- Intercept Form](https://reader035.vdocument.in/reader035/viewer/2022080914/56649d0e5503460f949e4159/html5/thumbnails/6.jpg)
Graphing a Linear Equation• Step 1: Rewrite the equation in slope-intercept form (if
necessary).• Step 2: Identify the slope and y-intercept• Step 3: Plot the y-intercept• Step 4: Use the slope to plot a second point and then
draw a line through the two points.
• It is optional, but highly recommended to draw more than two points to graph a linear equation
![Page 7: ALGEBRA 1 CC Graphing and Writing Equations in Slope- Intercept Form](https://reader035.vdocument.in/reader035/viewer/2022080914/56649d0e5503460f949e4159/html5/thumbnails/7.jpg)
Example 4 & 5• Identify the slope and y-intercept of the line with the given
equations and then graph the equations.
4) 5) 4x – 3y = 1514
2y x
![Page 8: ALGEBRA 1 CC Graphing and Writing Equations in Slope- Intercept Form](https://reader035.vdocument.in/reader035/viewer/2022080914/56649d0e5503460f949e4159/html5/thumbnails/8.jpg)
Example 6• Write an equation for the linear function f with the given
values
f(6) = -4, f(9) = -9
![Page 9: ALGEBRA 1 CC Graphing and Writing Equations in Slope- Intercept Form](https://reader035.vdocument.in/reader035/viewer/2022080914/56649d0e5503460f949e4159/html5/thumbnails/9.jpg)
• Two lines in the same plane are parallel if they do not intersect. • Parallel lines have the same slope.
• Two lines in the same plane are perpendicular if they intersect to form a right angle. • Perpendicular lines have slopes that are opposite reciprocals.
![Page 10: ALGEBRA 1 CC Graphing and Writing Equations in Slope- Intercept Form](https://reader035.vdocument.in/reader035/viewer/2022080914/56649d0e5503460f949e4159/html5/thumbnails/10.jpg)
Example 7
• Tell whether the following graphs are parallel, perpendicular, or neither.
y = 2x + 4
4x + 2y = 12
![Page 11: ALGEBRA 1 CC Graphing and Writing Equations in Slope- Intercept Form](https://reader035.vdocument.in/reader035/viewer/2022080914/56649d0e5503460f949e4159/html5/thumbnails/11.jpg)
Example 8
• Tell whether the following graphs are parallel, perpendicular, or neither.
3x + 4y = 24
-4x + 3y = 20