Writing Equations in Point-Slope Form
Use the given information to write the equation in point-slope form: point (-7, 8) slope 1/2
y - 8 = 1/2 (x + 7)
Rewrite the equation in slope-intercept form:
y-2 = -2 (x - 3)
y=-2x+8
The slope of the given line is -3
y - 2= 3(x+5)
False, the answer is 3
What is slope-intercept form of a line and what does each part of the equation represent?
y = mx + b, m = slope, b = y-intercept
Carson Wentz's Eagles jersey is currently valued at $12 in 2025. The value decreased $10 every year since 2016. Which equation represents the given scenario in point slope form?
a) y-12 = -10 (x - 2016)
b) y-12= -10 (x-9)
c) y-12 = 10 (x-9)
d) None of the above.
B
A turkey takes 20 minutes per pound to cook. How many minutes would a 10-pound turkey take?
200 minutes
Identify the slope and a point on the line of the given equation.
y + 7 =-1/3(x + 15)
slope -1/3 Point (-15, -7)
Rewrite in slope-intercept form:
y-4 = -1/2 (x-2)
y=-1/2x+5
To write an equation in point-slope form, you only need the slope and a point on the line.
True
What is point slope form and what does each part of the equation represent?
y-y1=m(x-x1) m = slope, and x1, y1 represent a point on the line
A new car is depreciating at a constant rate of $3900 per year. Online, it says after 10 years it will have a trade-in value of $24,000. Write an equation in point-slope form that represents the scenario so that y is the value of the car and x is the number of years since purchased.
y-24000=-3900(x-10)
If a recipe needs 1/3 cup of sugar per pie, how many cups are needed for 2 pies?
2/3 cups
Use the given information to write the equation in point-slope form.
Two points on the line are: (5, 4) and (7, 8)
y - 4 = 2 (x-5) or
y - 8 = 2 (x-7)
Write the equation of the line with a slope of -5 and a point (1, 1) in point-slope form, then rewrite in slope intercept form.
y-1 = -5(x-1)
y=-5x+7
Which of the following is TRUE about the graph of the line y + 4 = -5(x - 1).
a) Goes through (1, 4)
b) Goes through (4, -1)
c) Goes through (-1, 4)
d) None of the above!
D
What is the rate of change of a line?
m, slope, rise/run
A sunflower was 12 cm tall 4 days after it was planted. After 10 days, it was 24 cm tall. Assuming a constant growth rate, determine the rate at which the sunflowers are growing.
2 cm/ day
If your grandmother baked 32 dinner rolls and there are 11 people at Thanksgiving dinner, how many rolls can each person eat if they are distributed evenly?
2 rolls each (there will be extras!)
Use the given information to write the equation in point-slope form. Two points on the line are given in function notation:
f(-1)=10 and f(7)= -2
y-10 = 3/2 (x+1) or
y+2 = 3/2 (x-7)
What is the equation in point-slope form of the line that has a slope of -2 and passes through the point (-5,-3)? Rewrite in slope-intercept form.
y+3 = -2(x+5)
y = -2x - 13
You must know the y-intercept to write an equation in point-slope form. Explain!
False, you can use any point on the line!
What is vocabulary term is represented by the ordered pair (0,6)?
y-intercept
A newspaper charges $14 for the first 3 lines of an ad and $2 for each line after that. Write the point-slope form for the cost (y) of an ad with x lines.
y - 14 = 2(x-3)
What is the name of the horn-shaped basket filled with fruits and vegetables that's commonly associated with Thanksgiving?
Cornucopia
Create an equation in point-slope form such that the point is in the 4th quadrant and the slope is negative.
ANSWERS VARY
What is the equation in point-slope form of the line that passes through the points (2, -3) and (-4, 0), then rewrite in slope intercept form.
y+3 = -1/2(x-2) or
y-0=-1/2(x+4)
y = -1/2x - 2
The following equations are the same:
y= -4x+9
y - 5 = -4 (x - 1)
4x + y = 9
True
What vocabulary term is represented by the ordered pair (-1, 0)?
x-intercept
Hunter sells popcorn for his Cub Scouts Troop. The popcorn costs $20 each bag. Since it's so expensive, many people choose to just make a monetary donation. After several weeks, he sold 83 bags and now has $1761 in his account. How much money was made from monetary donations?
$101
Which U.S. president made Thanksgiving a national holiday?
Abraham Lincoln