Slopes

Presentation

•

Mathematics

•

10th Grade

•

Hard

Joseph Anderson

FREE Resource

7 Slides • 41 Questions

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

Multiple Choice

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

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

Multiple Choice

Which equation matches the graph?

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

Multiple Choice

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

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.

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

Slope Intercept Form

Writing and Graphing Equations Using y=mx+b

Dr. Tom Giles

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