Standard to slope intercept form

Finding the x-intercept

• Split up the linear function that is written in standard form.

• Set the 'x term' equal to the 'C' integer.

• Example: 2x + 5y = 4

• Set the 'x term' equal to the 'C' integer.

• 2x = 4

• NOW SOLVE FOR THE X INTERCEPT

• x = 4/2 therefore x = 2

Finding the y-intercept

• Split up the linear function that is written in standard form.

• Set the 'y term' equal to the 'C' integer.

• Example: 2x + 5y = 4

• Set the 'y term' equal to the 'C' integer.

• 5y = 4

• NOW SOLVE FOR THE Y INTERCEPT

• y = 4/5

Drag and Drop

Identify the key features of the line represented by the equation

-5x+3y=-15

x-intercept: ​

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y-intercept: ​

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slope:​

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Drag these tiles and drop them in the correct blank above

(3,0)

(0,-5)

(0,3)

(-5,0)

Graphing

Use the x-intercept and the y-intercept to graph the line.

3x+4y=-12

Multiple Choice

What is the y-intercept of
2x-5y=35?

• (0,-7)
• (-7,0)
• (35/2, 0)
• (0,35/2)

Multiple Choice

What is the x-intercept of
x+4y=7?

• (7/4, 0)
• (0, 7/4)
• (7, 0)
• (0,7)

Multiple Choice

Give the x-intercept
3x + 8y = 24

• (8, 0)
• (0, 8)
• (3, 0)
• (0, 3)

Multiple Choice

Name the x- and y-intercepts for the equation:
5x - 3y = 15

• (3, 0) and (0, -5)
• (0, 3) and (-5, 0)
• (5, 15) and (15, 3)
• (0, -3) and (5, 0)

Multiple Choice

Give the x-intercept

3x + 8y = 24

• x = 8

• x = 0

• x = 3

• x = 24

Multiple Choice

Give the y-interecept

3x + y = 5

• y = 0

• y = 5

• y = -3

• y = -5

Multiple Choice

What is the x and y intercept for the following equation ?
4x - 10y = 20

• x - int = 4    
  y-int = -10
• x-int = 5
  y-int = 2
• x - int = 5
  y int = -2
• x -int = 4
  y -int = -10

Multiple Choice

Give the y-interecept

3x + y = 5

• y = 0

• y = 5

• y = -3

• y = -5

Multiple Choice

^{What is the x- intercept of the line?}

• x = 1

• x = 2

• x = -1

• x = -2

Multiple Choice

What is your first step in changing the standard form equation 4x+2y=12 to slope-intercept form?

• subtract 12 from both sides of the equation
  
  $$4x+2y\ -12\ =\ 0$$

• subtract 4x from both sides of the equation
  
  $$2y=-4x\ +12$$

• add 4x to both sides of the equation
  
  $$2y\ =\ 4x+12$$

• throw my computer across the room

Multiple Choice

Now that the equation is 2y = -4x+12 what is your second step?

• Multiply everything by Pi
  
  $$2\pi y=-4\pi x+12\pi$$

• divide everything by -4
  
  $$-\frac{1}{2\ }y\ =\ x-3$$

• divide everything by 2
  
  $$y=-2x+6$$

• subtract 12 from both sides of the equation
  
  $$2y-12=-4x$$

Multiple Choice

What is the y-intercept?

• The point where the graph crosses the x-axis

• please make this stop

• The point where the graph crosses the y-axis

To change from Standard Form to Slope Intercept Form, you solve the equation for y.

• First, add or subtract the "x" term.

• Second, divide by the coefficient (number in front of) y.

• Finally, simplify if you can.

Write 3x + 2y = 6 in slope intercept form

What would happen with x + 3y = -9

Multiple Choice

From the equation: y = -2x +6 what is the slope of the line?

• y

• 6

• x

• -2

Multiple Choice

Solve this standard form equation so that it is in slope intercept form 6x+12y = 48

• 48= 6x+12y

• $$y\ =\frac{1}{2}x\ -4$$

• $$y\ =\ -2x+4$$

• $$y\ =\ -\frac{1}{2}x+4$$

Multiple Choice

Solve this equation in standard form so that it is in slope intercept form 4x-2y = 20

• $$y=2x-10$$

• $$y=\ 2x+10$$

• $$y\ =\ -2x\ -10$$

• $$y\ =\ -2x+10$$

Multiple Choice

Write x + 5y = 10 in slope intercept form.

• $$y=-5x\ +\ 2$$

• $$y\ =\ -\frac{1}{5}x\ +\ 5$$

• $$y\ =\ 5x\ +\ 2$$

• $$y\ =\ -\frac{1}{5}x\ +\ 2$$

Multiple Choice

The equation is now solved for y.

y = ¹/₂x - 5

Which is the graph of this equation?

Multiple Choice

What does 'b" represent in y=mx+b

• y-intercept
• beans
• x-intercept
• slope

Multiple Choice

What does "m" represent in y=mx+b?

• y-intercept
• slope
• macaroni
• x-intercept

Multiple Choice

Solve this equation for y:
$$10x\ -5y=30$$  

• y = 2x - 6

• y = -2x + 6

• y = -10x + 30

• y = 10x - 30