What's the Formula?
Find the Slope
Equation Forms
Looking at Graphs
Real World Conncections
500
Janelle earns money babysitting. She starts with $10 already saved and earns $8 per hour. However, she spends $3 each hour on snacks while working.
Write a slope-intercept equation to represent her total money after x hours.
Net rate: 8−3=5
Equation: y=5x+10
500
During a school fundraiser, Ava tracked the amount of money still needed to reach the goal. The points (4,520)and (10,310) represent the relationship between days and dollars left to raise. Predict how much money would still be needed after 12 days.
Slope = −35
The amount left to raise decreases by $35 each day.
After 12 days:
310−70=240
$240 would still be needed.
500
Write the equation of a line passing through (-2, -1) and (4, 11)
What is y = 2x + 3?
500
A graph shows a line with a slope of -2/3 that passes through the point (3, 0). This is the equation of the line
What is y = -⅔x + 2?
500
A gym charges a $30 sign-up fee and $15 per month. This is the total amount paid after 6 months
What is $120?
1000
y = 3x + 7, this is the y-intercept.
What is 7?
1000
A line on a graph falls 3 units for every 2 units it moves to the right. This is the slope.
What is -3/2?
1000
y= mx +b, what is the y-intercept?
b
1000
Nina made a graph showing how the amount of snow on the ground changed during the week after a snowstorm.
Without seeing the graph, what would most likely be labeled on the horizontal axis?
Days of the Week or Time
1000
A phone plan charges $10 per month plus $0.05 per text. In the equation, the slope represents this
What is the cost per text ($0.05)?
2000
A graph shows a line that crosses the y-axis at 6 and goes down 2 units for every 1 unit it moves right.
Write the slope-intercept equation.
y=−2x+6
2000
During soccer practice, Coach Rivera recorded the temperature change throughout the evening. The points (2,74) and (7,59) represent the data. Find the slope and explain what it means in context.
−3, The temperature dropped 3 degrees each hour.
2000
Write the equation of a line that passes through (0, -5) and (4, 3)
What is y = 2x - 5?
2000
Slope of the horizontal line.
What is zero?
2000
A candle is 12 inches tall and burns down 2 inches per hour. This is the equation that models the candle's height over time.
What is y = -2x + 12?
4000
When b = 0 in y = mx + b, every line with this y-intercept will always pass through this specific point on the graph.
What is the origin / (0, 0)?
4000
Ethan is filling a swimming pool for the summer. The points (2,150) and (7,425) represent the amount of water in the pool in gallons after a certain number of hours. Find the slope. Explain what the slope means in the context of the situation.
Slope = 55
The pool is being filled at a rate of 55 gallons per hour.
4000
Write the equation of a line that passes through (2, 7) with a slope of -3.
What is y = -3x + 13?
4000
Slope of a vertical line.What is undefined?
4000
In the equation y = 50x + 200, where x = weeks and y = total savings, this is what the 200 represents in real life.
What is the starting savings / initial amount of $200?
5000
In y = mx + b, this letter represents the slope.
What is m?
5000
The slope of y = -5x + 3
What is -5?
5000
A line passes through the y-intercept (0,−5) and has a slope of 4.
Write the equation in slope-intercept form.
y=4x−5
5000
Mia tracked how many minutes she spent practicing piano each day for one week. She wants to make a graph showing how her practice time changed over the days.
What should she label the x-axis and y-axis?
x-axis: Days
y-axis: Minutes Practicing Piano
5000
A taxi charges a flat fee of $5 plus $2 per mile. In y = 2x + 5, this part represents the starting cost before driving anywhere.
What is $5 (the y-intercept)?