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Warm-up
Use a graph to identify the slope and
y-intercept of each equation.
1. y = -6x
2. y = 3x - 7
3. 4x - y = 5
4. 7x - 3y = 4
Slope-Intercept Form
4.6
p. 241
y = mx + b
 A linear equation y = mx + b is written in
slope-intercept form.
y = mx + b
 A linear equation y = mx + b is written in
slope-intercept form.
 The slope is m -- whatever number is in
front of x.
y = mx + b
 A linear equation y = mx + b is written in
slope-intercept form.
 The slope is m -- whatever number is in
front of x.
 The y-intercept is b -- what you would get if
you plugged in x=0.
Slope-Intercept Form
 To use slope-intercept form, you must
write the equation by solving for y.
Graphing
1. Write the equation in slope-intercept
form.
Graphing
1. Write the equation in slope-intercept
form.
2. Plot the y-intercept.
Graphing
1. Write the equation in slope-intercept
form.
2. Plot the y-intercept.
3. Use the slope to plot a second point.
Graphing
1. Write the equation in slope-intercept
form.
2. Plot the y-intercept.
3. Use the slope to plot a second point.
4. Draw a line through the points.
Parallel lines
 Two different lines are parallel if they do
not intersect.
Parallel lines
 Two different lines are parallel if they do
not intersect.
 Two lines are parallel if they have the
same slope but different y-intercepts.

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4.6slope intform

  • 1. Warm-up Use a graph to identify the slope and y-intercept of each equation. 1. y = -6x 2. y = 3x - 7 3. 4x - y = 5 4. 7x - 3y = 4
  • 3. y = mx + b  A linear equation y = mx + b is written in slope-intercept form.
  • 4. y = mx + b  A linear equation y = mx + b is written in slope-intercept form.  The slope is m -- whatever number is in front of x.
  • 5. y = mx + b  A linear equation y = mx + b is written in slope-intercept form.  The slope is m -- whatever number is in front of x.  The y-intercept is b -- what you would get if you plugged in x=0.
  • 6. Slope-Intercept Form  To use slope-intercept form, you must write the equation by solving for y.
  • 7. Graphing 1. Write the equation in slope-intercept form.
  • 8. Graphing 1. Write the equation in slope-intercept form. 2. Plot the y-intercept.
  • 9. Graphing 1. Write the equation in slope-intercept form. 2. Plot the y-intercept. 3. Use the slope to plot a second point.
  • 10. Graphing 1. Write the equation in slope-intercept form. 2. Plot the y-intercept. 3. Use the slope to plot a second point. 4. Draw a line through the points.
  • 11. Parallel lines  Two different lines are parallel if they do not intersect.
  • 12. Parallel lines  Two different lines are parallel if they do not intersect.  Two lines are parallel if they have the same slope but different y-intercepts.