Download Slope-Intercept Form of a Linear Equation

Slope-Intercept Form
of a Linear Equation
Is this a linear equation?
3x + 2y = 6
3
y   x3
2
Let’s Graph!
 How would you graph the first
equation?
 How would you graph the second
equation?
A linear equation in the form of
y = mx + b is in slope-intercept form.
When a linear equation is solved for y,
you can identify the slope and the
y-intercept.
Examples:
 Write an equation of the line whose
slope is 1 and whose y-intercept is -6.
4
 Let m = slope and b = y-intercept.
1
y= x–6
4
 Write an equation of the line shown in
the graph.
Writing Equations in SlopeIntercept Form
 4x – 6y = 3
Find the slope and y-intercept.
 12x = -3y + 24
Find the slope and y-intercept
 Recall that Ax + By = C is the
standard form of a linear equation.
Solve this equation for y.
 Write 8x – 4y = 12 in slope-intercept
form.
Graphing Linear Equations
 Set up a table of values.
 Quick graphs using intercepts
(standard form)
 Slope and y-intercept
 Graph y = 0.5x – 7
 Graph 5x + 4y = 8
Real Life Examples of SlopeIntercept Form
 Plumber A charges a flat rate of $25
plus $30 an hour
 Define the variables and write an
equation for Plumber A
 Plumber B charges a flat rate of $40
plus $25 an hour.
 Define the variables and write an
equation for Plumber B
 Graph both equations.