Identify
For the equation y=3x+2, what is the slope m and the y-intercept b?
m=3, b=2
Find the slope of the line through the points (1,2) and (3,6) using the slope formula.
m = 2
Write the equation of a line in slope-intercept form with slope m=2 and y-intercept b=−1.
y = 2x − 1
What sport did I play in high school?
Soccer
Who was the 3rd president of the United States of America?
Hint: He wrote something really important.
Thomas Jefferson
For the equation y=−1/2x+4, identify m and b.
m=−1/2, b=4
Calculate the slope between (−2,5) and (4,−1).
m = -1
A line has slope 1/2 and passes through the point (4,3). Find its equation in slope-intercept form.
y = 1/2x + 1
What do I coach in the high school?
Esports
What has greater surface area? Waffles or Pancakes?
Waffles
In the equation 2y=6x−8, first solve for y in slope-intercept form, then state m and b.
Divide both sides by 2: y=3x−4, so m=3, b=−4
Determine the slope of the line passing through (0,−3) and (7,4). Then explain whether the slope is positive or negative and what that tells you about the line.
m = 1, positive slope → line rises left to right
Convert the equation 3x−y=6 into slope-intercept form and identify m and b.
m=3, b=−6
What year did I graduate from McClain High School?
Hint: I turn 30 in March.
2014
What was the original Fortnite called?
Fortnite: Save the World
Given the line shown by the equation y=0x+5, describe the slope and the meaning of the y-intercept.
m=0, b=5. A slope of zero means the line is horizontal.
Two points on a line are (2,2) and (2,9). Use the slope formula and explain what kind of line this is.
m = 7/0, undefined; vertical line at x=2
A taxi company charges a base fare of $3 plus $0.75 per mile. Write an equation y=mx+b where x is miles driven and y is total fare. Then find the cost for a 10-mile ride.
y = 0.75x + 3
10 miles: $10.50
What is my favorite Christmas movie?
The Nightmare Before Christmas
What is the complementary color to Blue?
Orange
A line is horizontal with equation y=−3. What are the values of m and b? Explain why the slope has that value.
m=0, b=−3. Horizontal line, slope zero because y does not change.
The slope between (x1,y1)=(−3,7) and (x2,y2)=(5,−1) can be simplified to a fraction. Compute the slope and simplify.
m = -1
A line passes through (−1,4) and has y-intercept b=1. Find the slope and write the equation in slope-intercept form.
y = −3x + 1
What is the name of my favorite band?
King Gizzard and the Lizard Wizard
What is the highest grossing ($$$) film of all time?
Hint: A sequel is releasing soon.
Avatar (2009)