Lesson 1: Slope Intercept Form

LInear Equations

Unit 5

#1 Identify the slope and y-intercept from equation and graph

#2 Write the equation for a line in slope-intercept form

Slope Intercept Form

What is slope-intercept form of an equation for a line?

Identify the slope and y-intercept from the linear equation: y = 4x - 2

• Slope (m) =

• y-intercept (b) =

Identify the slope and y-intercept from the linear equation: y = 5 - x

• slope (m) =

• y-intercept (b) =

Writing the slope-intercept form equation that represents the line with the given slope and y-intercept

• Slope = 1/2

• Y-intercept = -3

• Equation: ________________________

Writing the slope-intercept form equation that represents the line with the given slope and y-intercept

• Slope = -1

• Y-intercept = 10

• Equation: ________________________

Linear Graph

• Identify the Slope: ______

• Identify the y-intercept: _______

• Write the slope-intercept form of the equation. ____________________

Horizontal Graph

• Identify the slope (m): _______

• Identify the y-intercept (b): ____

• Identify the slope-intercept form of the equation: ____________

Multiple Choice

Identify the slope and y-intercept from the equation.

y = 2x + 3

• slope = 2

  y-intercept = 3

• slope = 3

  y-intercept = 2

Multiple Choice

Identify the slope and y-intercept from the equation.

 $y\ =\ -7\ +\ \frac{1}{3}x$  

• Slope (m) = -7
  
  y-Intercept (b) =  $\frac{1}{3}$  

• Slope (m) =  $\frac{1}{3}$  
  
  y-Intercept (b) = -7

Multiple Choice

Write the slope-intercept form of the linear equation that represents the line with the given slope and y-intercept.

Slope (m) = -3

Y-intercept (b) = 12

• y = -3x + 12

• y = 12x - 3

Multiple Choice

Write the slope-intercept form of the linear equation that represents the line with the given slope and y-intercept.

Slope (m) = 2/3

Y-intercept (b) = -6

• y = -6x + 2/3

• y = 2/3x - 6

Multiple Choice

For the linear graph, identify the slope and y-intercept and write the slope-intercept form of the equation.

• Slope (m) = -1/2

  y-intercept (b) = 4

  y = -1/2x + 4

• Slope (m) = 1/2

  y-intercept (b) = 4

  y = 1/2x + 4

• Slope (m) = -2/1

  y-intercept (b) = 4

  y = -2x + 4

Multiple Choice

For the linear graph, identify the slope, y-intercept and write the slope-intercept form of the equation.

• Slope(m) = -1

  Y-intercept(b) = -2

  y = -1x - 2

• Slope(m) = 1

  Y-intercept(b) = -2

  y = 1x - 2