Slope
Find the slope of (5,4)(6,7)
3
find the y-intercept from (1,2) m=2
b=0
What is Y-intercept?
The initial value of a linear function, the value of y when x=0
Ismael started the day with an irrigation pipe of 120 meters long. He used the equation L=15s+120 to determine the total length of the pipe as new sections of pipe, s, were welded onto the end. What does the slope represent in the context of the problem?
15 meters for each section of pipe added
Find the equation of the line (2,4) m=2
y=2x
What is the slope of (2,6) (1,8)
-2
Find the y-intercept from (2,5) m=3
b=-1
What is slope?
The gradient, How steep a linear function is, rise/run
Ricardo is draining his pool for the winter. There are 24000 litres in the pool and it is decreasing at a rate of 200 liters per hour. Write an equation to represent the relationship between the amount of water in the pool, y, and the number of hours the pool has been draining, x.
y=24000-200x
Find the equation of the line (4,2) m=5
y=5x-6?
Find the slope from the following points: (2,4) (3,6)(4,8)(5,10)?
2
Find the y-intercept (-2,5) m=-3
b=-1
What is a quadratic function?
The equation of this type of function has a variable with a degree 2 maximum.
Steven is learning to scuba dive. The equation D=20L+15 represents the depth he can dive in feet, D, based on the number of lessons he has had, L. How deep can Steven dive after he takes 13 lessons?
275 feet
Find the equation of the line (-2,1) m=-4
y=-4x-7
Find the slope (-4,-8) (1,3)
11/5
Find the y-intercept (2,3)(3,4)(4,5)(5,6)
b=1
What is slope intercept form of the equation of a line?
y=mx+b is the format for a linear equation.
David works at the T-shirt shack selling tees. The equation y=15x-520 represents the profit that the T-shirt Shack makes for each t-shirt sold, where y is the total profit and x is the number of t-shirts sold. How many t-shirts does the T-shrit Shack need to sell to make a profit of $140?
44 t-shirts
Find the equation of the line from the following points (2,1)(3,2)(4,3)(5,4)
y=x-1
Find the slope (2.5,.5)(6,3)
5/7
Find the y-intercept (-4,6) (-2,5)(0,4)(2,3)
b=-1/2
What is a non-linear function?
A function that is not of the form y=mx+b
Alex paints faces at kids' birthday parties to earn extra money. The equation M=2.50f+12 represents the relationship between the money she makes, M, and the number of faces she paints, f. Alex wants to buy a new pair of Uggs that cost $119.50. How many faces does she need to paint?
43 faces
Find the equation from the following points (-2,5)(0,3)(2,1)
y=x+3