Graphing Equations from Standard Form

​Let's Review

• ​The slope-intercept form of a linear function is

• ​m represents the slope

• ​b represents the y-intercept

• ​Zero means the x-intercept

Multiple Choice

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

• y-intercept

• slope

• macaroni

• nothing

Multiple Choice

What is the slope of the line represented by the equation y = 7 - x?

• 7

• 0

• 1

• -1

Multiple Choice

What is 'b' in this linear equation? y= 5x - 6

• 6

• 5

• y

• -6

Multiple Choice

What is the equation by looking at this graph?

• y= x + 3

• y= -x + 2

• y= 2x + 2

• y= x + 2

Multiple Choice

What is the y-intercept in the equation y= -2x + 5

• -2

• 3

• 5

• Cannot be Determined

Multiple Choice

Find the slope of the line.

• 1/2

• -1/2

• 2

• -2

Multiple Choice

Which graph has an x-intercept at 2 and a

y-intercept at 2?

• A

• B

• C

• D

Standard Form​

• The standard form of a linear function is

​

• ​To convert from standard form to slope-intercept form:

• ​1) Move x-term to the right side of the equation and change its sign.

• ​2) Divide both sides of the equation by the y-coefficient

Multiple Choice

_{What is the y-intercept of the line?}

•  (0,¹/₂)

• (0,1)

• (0, ^-1/2)

• (0, -1)

Multiple Choice

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

• (1, 0)

• (2, 0)

• ( -1, 0)

• (-2, 0)

Multiple Choice

Give the y-interecept 3x + y = 5

• (-3, 0)

• (0,5)

• (-5, 0)

• (0, -3)

Multiple Choice

What is the y-intercept in the equation x + 2y = 4

• (0, 0)

• (0, 2)

• (4, 0)

• (2, 0)

Multiple Choice

What is the equation of the line graphed?

• x = -1

• y = -1

• y = -1x

• y = x - 1

Multiple Choice

What is the y intercept? y = 2x - 3

• 3

• -3

• 1

• 2

Multiple Choice

Find the slope of the line.

• 1/4

• -1/4

• -4

• 4

Multiple Choice

Find the slope of the line.

• -2
• 2
• -1
• 1

Multiple Choice

What is the form of an equation that is in slope intercept form?

• Ax + By = C

• y=mx + b

Multiple Choice

When solving 3x + 2y = 12 for y, to put it into slope intercept form, what will you do first?

• Add 3 to both sides

• Subtract 3 from both sides

• Add 3x to both sides

• Subtract 3x from both sides

Multiple Choice

When solving 2x + 5y = 15 for y, to put it into slope intercept form, what is the 1st step?

• Add 2 to both sides

• Subtract 2 from both sides

• Add 2x to both sides

• Subtract 2x from both sides

Multiple Choice

Solve for y (slope intercept form): 

                      2x + 3y = 12

• y= 6x + 2

• $$y\ =\ -\frac{2}{3}x\ +4$$

• $$y\ =\ -\frac{3}{2}x\ +\ 4$$

• y = 2x + 6