Slopes
What is the slope of the line that goes through the points (-3,-4) and (0,2)
Slope= 2
Sally and Dave are saveing up money. Sally starts with $105 and saves $5 every week. Dave starts with $5 and saves $15 dollars a week. After how many weeks do they have the same amount of money.
Answer= 10 weeks ($155)
What is a slope?
"The Ratio of the rise, or vertical change, to the run, or horizontal change, between any two points on a nonvertical line on the coordinate plane."
y - 1 = 5x + 2
Answer= 5
Positve line
A graph of a line rises from left to right (going upwards)
What is the slope of the line that goes through the points (-2,5) and (2,0)
Slope= -5/4
Sara and Mike are collecting berries. Together they both have 50 berries. Sara collected 10 more berries than Mike. How many rocks did each of them collect.
Answer= Sara collected 30 rocks, Mike collected 20 rocks.
What is the Y-intercept?
"The point on a coordinate plane where the graph of a line crosses the y axis."
2y - 3x = 5
Answer= 3/2
Negaitve line
A line that is traveling downward from left to right
What is the slope of a horizontal line?
Slope= 0
The soccer club costs $100 to join the club and $10 every hour to use the fields. Write an equation to express the cost (C) in terms of hours (h) playing soccer.
Equation= C = 10h + 100
What is the X-intercept?
"The point on a coordinate plane where the graph of a line crosses the x axis."
What is the equation for the points (-2,3) and (1,-2) on a line
Equation= y= -5/3x - 1/3
Horozontal line
A straight line that goes from left to right or right to left. (Side to side)
What is the slope of the line that goes through the points (2,0) and (2,3)
Slope= 3/0
Flora is handmaking and selling jewelry. The supplies cost $60 dollars, and she sells each piece for $20. How many pieces of jewelry does she have to sell to break even.
Answer= 3 pieces
Linear Relationship
"A relationship between two quantities in where there is constant variation between the two quantities."
-2y - 3 = 5y + 11
Answer= -2
Vertical line
A line on the coordinate plane where all the points on the line have the same x-coordinate (up and down)
What is the slope of vertical line?
Slope= infinite
Jake is throwing a beach party. He needs to buy towels and beachballs still. The towels were $3 and the beachballs were $4 for each one. He bought 10 items that cost him $34. How many beachballs did he purchase.
Answer= 4 beachballs
What is an undefined slope?
A slope that can not be found because it has an undefined slope because its vertical change is divided by zero (no horizontal change).
2.3x + 2.8 = -1.2x + 9.8
Answer= 2
Perpendicular line
Lines that intersect at a 90 degrees angle