Graphs
Slope
Slope formula
Point slope formula
Random
100
what are the 4 quadrants of a graph. (show on board)
100
What letter is typically used to represent slope?
m
100
what is slope formula
y2-y1/x2-x1
100
what is the point slope formula
y – y₁ = m(x – x₁)
100
what's the theme for 2025 BT summer
Magic
200
how would you plot a point on the graph?
(x,y)
200
in slope what is the rise and what is the run
y is the rise & x is the run (y/x)
200
What is the slope between the points (–2,4) and (2,-8)?
-3
200
Write the equation of a line in point-slope form with slope 3 and passing through (2, 5)
y – 5 = 3(x – 2)
200
what is my call and response (SHOUT IT)
WE'RE IN THAT 90210 SO WE ... BALL BALL BALLI'N
300
what is the center of the graph where the x and y axis meet
origin (0,0)
300
how do you read a slope on a graph
from left to right
300
A line has a slope of 2 and goes through the points (x, 3) and (4, 11). What is the missing x-value?
2 = (11 – 3) / (4 – x) → 2 = 8 / (4 – x) → 4 – x = 4 → x = 0
300
A line passes through (–1, 5) with a slope of ½. Write the equation in point-slope form
y – 5 = ½(x + 1)
300
What is the dragon on the whiteboard called
Shenron
400
when a graph is a straight line with no slant and no end, what type of graph is it?
a slope of 0
400
if a slope is going from left to right slanted upward what would that make the slope
positive
400
You are given two points from a graph: A(–2, 7) and B(3, –3). What is the slope of the line passing through them?
(–3 – 7)/(3 – (–2)) = (–10)/5 = –2
400
A line has a slope of 3 and passes through a point where x = –2 and y = –1. Write the equation in point-slope form, then explain what the “3” tells us about the graph.
y + 1 = 3(x + 2); it means the line rises 3 units for every 1 unit to the right.
400
free point
congrats
500
What is the slope of a vertical line?
Undefined
500
if a slope is going from left to right slanted downward what would that make the slope
negative
500
You’re tracking the temperature change from morning to afternoon. At 8 AM, it was 58°F. At 2 PM, it was 82°F. What is the average rate of temperature change per hour?
(82 – 58)/(2 PM – 8 AM = 6 hrs) ⇒ 24/6 = 4°F/hour.
500
You’re designing a ramp that starts at (0, 0) and rises with a slope of 1/12. Write an equation in point-slope form to model this
y – 0 = 1/12(x – 0)
500
yes or no
IDK