Slopes

Slope Intercept Form

Writing and Graphing Equations Using y=mx+b

​Dr. Tom Giles

Multiple Choice

Which of these represents slope-intercept form?

• y - y₁ = m(x-x₁)
• Ax + By = C
• y = mx + b

Multiple Choice

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 
• slope: 3/2   y-intercept:  (0,3) 
• slope:  4  y-intercept:  (0,3/2)
• slope: 1/5   y-intercept:  (0,5) 

Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6
• y=3x-6
• y=3x+6
• y=6x+3

Multiple Choice

How would you write the equation with a slope of 2/3 and a y-intercept of -3

• y=3/2x+3
• y=2/3-3
• y=2/3x-3
• y=2/3x+3

Multiple Choice

What is the y-intercept in the following equation:  y=-4x-5

• -4
• -4x
• 5
• -5

Multiple Choice

What is the slope in the equation:  y=4x+3

• 3
• 4x
• 4
• x

Multiple Choice

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

• y-intercept
• slope
• macaroni
• nothing

Multiple Choice

What is the equation of a line when m = -7 and b = -8?

• y = -7x + 8

• y = -7x - 8

• y = 7x - 8

• y = 7x + 8

Multiple Choice

Which equation matches the graph?

• y= 0.5x - 5
• y= -0.5x - 5
• y= 0.5x + 5
• y= -0.5x + 5

Multiple Choice

Which equation matches the graph?

• y= 3x - 5
• y= -3x - 5
• y= 3x + 5
• y= 3x + 5

Multiple Choice

Which equation matches the graph?

• y= 3x - 5
• y= -3x - 5
• y= 3x + 5
• y= 3x + 5

Multiple Choice

Which equation matches the graph?

• y= 1x + 3
• y= 1x
• y= -1x + 3
• y= -1x

Multiple Choice

Which equation matches the graph?

• y= 1x + 3
• y= 1x
• y= -1x + 3
• y= -1x

Multiple Choice

Which equation matches the graph?

• y= 2x + 5
• y= 2x
• y= -2x + 5
• y= -2x

Multiple Choice

Which equation matches the graph?

• y= 2x + 5
• y= 2x
• y= -2x + 5
• y= -2x

1.1 Part 1: Converting from Slope-Intercept to Standard Form

​EQ: How can you convert between Slope-Intercept and Standard Form of a Linear Equation?

Multiple Choice

What is the FIRST step when converting from Slope Intercept to Standard Form?

• Move the X using inverse operations

• Clear the equation of fractions

• Make X positive by distributing the 1.

Multiple Choice

What is the SECOND step when converting from Slope Intercept to Standard Form?

• Move the X using inverse operations

• Clear the equation of fractions

• Make X positive by distributing the 1.

Multiple Choice

What is the THIRD step when converting from Slope Intercept to Standard Form?

• Move the X using inverse operations

• Clear the equation of fractions

• Make X positive by distributing the 1.

Multiple Choice

Convert to Standard Form:

y = -x +4

• -x + 4 + y = 0

• -x - y = -4

• x - y = -4

• x + y = 4

Multiple Choice

Convert to Standard Form:

y = 9x

• -9x + y = 0

• 9x + y = 0

• 9x + y

• 9x - y = 0

Multiple Choice

Convert to Standard Form:

y = 4x - 11

• 4x - y = -11

• -4x + 11y = 1

• -4x + y = -11

• 4x - y = 11

Multiple Choice

Convert to Standard Form:

y = 6x - 7

• 6x - y = 7

• 6x + y = -7

• 6x - 7y = 0

• -6x + y = -7

Multiple Choice

Convert to Standard Form:

y = 3/4x

• -3/4x + y = 0

• 3x - 4y = 0

• x - 2y = -3/4

• -3x + 4y = 0

Multiple Choice

Convert to Standard Form:

y = 1/2x + 3

• x - 2y = -6

• -x - 2y = 6

• x - 2y = -3

• -x - 2y = -3

Parallel and Perpendicular

Multiple Choice

Parallel lines have slopes that are ________.

• positive

• negative

• equal

• reciprocals

Multiple Choice

Perpendicular lines have slopes that are ________.

• both positive

• both negative

• equal

• reciprocals

Multiple Choice

Line A has slope = 2. What is the slope of line B if it is parallel to A.

• 1

• 2

• 1/2

• -1/2

Multiple Choice

Line A has slope = 2. What is the slope of line B if it is perpendicular to A.

• 1

• 2

• 1/2

• -1/2

Multiple Choice

Line A has slope = -4/9. What is the slope of line B if it is perpendicular to A.

• 4

• 9

• 9/4

• -9/4

Using the Point-Slope Formula

y _- y₁ = m(x - x₁₎

Multiple Choice

Which of these represents point-slope form of a linear equation?

• y - y₁ = m(x - x₁)
• Ax + By = C
• y = mx + b

Multiple Choice

What does "m" represent in y - y₁ = m(x - x₁)?

• y-intercept

• slope

• macaroni

• nothing

Multiple Choice

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3

• y + 1 = -3(x - 2)
• y + 1 = -3(x + 2)
• y - 1 = 3(x - 1)
• y + 2 = -3(x + 1)

Multiple Choice

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

• y-5=-3(x-10)
• y=-3x+35
• y+5=-3(x+10)
• y=-3x-35

Multiple Choice

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

• y +7 = -1/4(x - 4)
• y - 4 = -1/4(x + 7)
• y+ 7 = 4(x - 4)
• y - 7 = -1/4(x - 4)

Multiple Choice

For the equation 
y - 3 = 2(x + 4), 
what is the ordered pair?

• (-4, 3)
• (3, -4)
• (-3, -4)
• (-4, -3)

Multiple Choice

Write the equation of the line in point-slope form that goes through the point (10,5) and has a slope of -3

• y - 5 = -3(x - 10)

• y = -3x + 35

• y + 5 = -3(x + 10)

• y = -3x - 35

Multiple Choice

For the equation 
y - 4 = -1/3(x - 7), 
what are the coordinates for the point?

• (4, 7)
• (-7, - 4)
• (7, 4)
• (-4, -7)

Multiple Choice

Slope is know as rise/

• run
• fall
• none
• rise

Multiple Choice

What is the slope formula?

Multiple Choice

What type of slope?

• negative
• positive
• zero slope
• downward slope

Multiple Choice

What is the slope in the picture?

• Positive
• Negative
• Zero
• Undefined