algebra 1 cc graphing and writing equations in slope- intercept form
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ALGEBRA 1 CCGraphing and Writing Equations in Slope-Intercept Form
• 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
Example 1• Write an equation of the line shown
Example 2• Write an equation of the line that passes through the
points (4, -2) and (-2, 2)
Example 3• Write the equation of the line that passes through the
point (-4, -9) and has a slope of 2.
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
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
Example 6• Write an equation for the linear function f with the given
values
f(6) = -4, f(9) = -9
• 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.
Example 7
• Tell whether the following graphs are parallel, perpendicular, or neither.
y = 2x + 4
4x + 2y = 12
Example 8
• Tell whether the following graphs are parallel, perpendicular, or neither.
3x + 4y = 24
-4x + 3y = 20