Slope-Intercept
What is the equation for slope-intercept form?
y = mx + b
What is the equation for point-slope form?
y - y1 = m(x - x1)
What are the slopes of parallel lines?
Equal
The relationship between age and height?
Positive, negative, or none
Positive
What's the formula to find a term for an arithmetic sequence?
an = a1 + d(n - 1)
Write in slope-intercept form:
m = -3 y-intercept = 5
y = -3x + 5
What two things must you know to use point-slope form?
A point and the slope
What are the slopes of perpendicular lines?
Negative (opposite) reciprocals
The relationship between how much deicer is bought and the temperature outside.
Positive, negative, or none
Negative
What does a1 stand for?
The first term in the sequence
Write in slope-intercept form:
slope = 3/4 y-intercept (0, -4)
y = (3/4)x - 4
Write in point-slope form:
m = 4 containing (4, 2)
y - 2 = 4(x - 4)
Write the equation parallel to the line y = -3x + 4 and containing the point (2, 5)
y - 5 = -3(x - 2)
y - 5 = -3x + 6
y = -3x + 11
The relationship between the color of car and the speed it drives.
Positive, negative, or none
None
Find the 12th term in the sequence:
4, 7, 10, 13, ...
an = 4 + 3(n - 1)
a12 = 4 + 3(12 - 1)
a12 = 4 + 3(11)
a12 = 37
Write in slope-intercept form, passing through:
(2, 4) (-2, 12)
HINT: Find slope first!
m = (12 - 4)/(-2 - 2) = 8/-4 = -2
y = -2x + 8
Put the following steps in order when writing an equation that contains two ordered pairs (points)
1) Convert to Slope-Intercept form
2) Find Slope
3) Use Point-Slope Form
2
3
1
Write the equation perpendicular to the line y = x + 8 containing the point (-1, -6)
y - -6 = -1(x - -1)
y + 6 = -1(x + 1)
y + 6 = -x - 1
y = -x - 7
The relationship between needed tire pressure and weight of vehicle.
Positive, negative, or none
Positive
Generally speaking, the heavier the vehicle, the higher the tire pressure.
5, 7, 9, 11, 12, 13, ...
No
There is NOT a common difference
Write in slope-intercept form, passing through:
(-1, 3) (5, 0)
HINT: Find slope first!
m = (0 - 3)/(5 - -1) = -3/6 = -1/2
y = (-1/2)x + (5/2)
y = -0.5x + 2.5
What is the formula for slope?
m = (y2 - y1)/(x2 - x1)
Write the equation parallel to the line y = -5x + 3 containing the point (10, 2)
y - 2 = (1/5)(x - 10)
y - 2 = (1/5)x - 2
y = (1/5)x
The relationship between your hunger on Halloween night from 5 PM to 9 PM.
Positive, negative, or none
Negative.
The front row has 7 seats. Each row after has two more seats than the previous row. Which row has 21 seats?
an = a1 + d(n - 1)
an = 7 + 2(n - 1)
21 = 7 + 2(n - 1)
14 = 2n - 2
n = 8