Slope

Slope

100

If the formula is y = 2x + 10, what is the slope?

2

200

If the formula is y = 2.125x + 10, what is the slope in fraction form?

17/8

300

This is a table:

x   y

-7  -1

-4  -5

-1 -9

What is the slope?

-4/3

400

1) What is the slope of 4x + 2y = 6

2) What is the slope x: 1, 2, 3; y: 4, -2, -8

1) -2

2) -6

800

What is the slope for 1000x³/(y(y + (1¹⁰¹¹ - 1¹⁰¹²))) = 125y?

2

Find with Points

100

What is the slope if the coordinate points are (1, 2) and (2, 3)

1

200

What is the slope if points are (100, 5), (195.25, 5)?

0

300

If the formula is y = mx + 10 and a coordinate point is (3, 7) what is the slope?

-1x

400

1) Find the slope if the points are (4, 7) and (204, 357) what is the slope?

2) What is the slope if one of the points is (30, 63) and the formula is y = mx + 60

1) 7/4

2) 1/10

800

Going from right to left, what is the slope-intercept form with the coordinate points (9, -3) to (-7, -7)?

y = 1/4x - 21/4

Graph Points

100

Graph a simple point on the coordinate graph using the equation y = 8x - 10

Some include (0, -10), (1, -2), (2, 6), etc.

200

Graph 2 points for y + x = x + 8

(0, 8), (1, 8), etc.

300

What is a coordinate point in the equation -7(y/2) = 2x

(0, 0)

400

If y = -150/200x + 8, what is the next coordinate point that comes to left of the one on the y intercept where both numbers are integers?

(-4, 11)

800

If the x-intercept is 12.5 and the formula is 2(yx + 2.5x²) = -2x(b - 2y), what is b

-15.625

Real World Problems

100

Bob gets 20 dollars every day. y = __x, what is the slope?

20

200

What is the slope intercept form if there is 2 inches of snow on the ground and it snows 3 more inches every hour?

y = 3x + 2

300

If Molly has a bake sale and sells each cookie for 3 dollars, how much money will she make if it costs 20 dollars to buy all the cookies? Write the formula as y = mx + b

y = 3x - 20

400

If a rollercoaster goes up at a constant rate, has a distance of 10 to the peak and has a slope of 3/2x what is the height of the rollercoaster if it starts at 12 feet high?

27 feet

800

Assume Mount Everest goes up and down at a constant rate. Both sides of the mountain start at 14,000 feet above sea level and the peak is at 29,000 feet above sea level. If the slope goes up by 30 degrees, what is the length of the mountain?

90,000 ft.

Work: 29,000 - 14,000 = 15,000

30 degrees = 30/90x or 1/3x.

15,000 * 3 * 2 (as it goes both ways) = 90,000

Vocab

100

What is "m" relating to slope?

Slope

200

To find slopes what are the 2 r's? _ _ _ over _ _ _

Rise over run

300

If x = any number what is the slope

Undifined

400

What is the formula to find y-intercept (no cheating)?

Hint: y - y₁ = m(x - x₁)

800

Which mathematician invented the coordinate sytem?

Rene Descartes