Slope and Intercept
Find the slope and y-intercept of the line given by the equations y=3x-5
Slope: 3
Y-intercept: (0,5)
Write a slope-intercept equation that goes through the points (0,-4) and (2,6)
y = 5x - 4
Describe how you would graph the equation y = -x + 2
Plot the y-intercept of (0,2) then right 1 and down 1 to the edge of the graph.
A cell phone plan cost $20 per month plus $0.05 per text. Write a linear equation for total monthly cost C in terms of number of texts
C = 0.05t + 20
A line has a slope of -2 and a y-intercept of (0,4). Write the equation in y=mx+b (slope intercept) form.
y=-2x+4
Write a slope-intercept equation that goes through the points (1,3) and (4,9)
y = 3x + 1
Describe how you would graph the equation
y = -(5/3) + 9
A car rental charges a $50 flat fee plus $0.20 per mile. Write an equation for the situation. How much would it cost to travel 150 miles?
y = 0.20x + 50
Cost of 150 mile trip = $80
What planet in our solar system has the most moons?
Jupiter
Determine the slope-intercept (y=mx+b) form of the equation of the line with a slope of 3/2 and a y-intercept of (0,-7)
y=(3/2)x-8
Write a slope-intercept equation that goes through the points (2,3) and (5,0)
y = -x + 5
Given the equation y = 2x - 4. Give two coordinates you would plot to graph this successfully.
(0,-4) should be one of them!
Construction workers are pouring concrete into a pit, they start with 52 gallons already in the pit and put 12 gallons in the pit every 2 hours. Write an equation for the situation
y = 6x +52
Who is the only Jedi in Star Wars to use a purple lightsaber?
Mace Windu
A line has a y-intercept of (0,5) and passes through the point (1,7). Write the slope-intercept(y=mx+b) form of the line
y=2x+5
Write a slope-intercept equation that goes through the points (4,7) and (16,13)
y = (1/2)x + 5
Describe how the graph of y = -x + 1 and the graph of y = -x - 2 are similar and different.
One has a y-intercept of (0,1) and the other has a y-intercept of (0,2). However, they have the same slope.
A pool is emptying at 0 minutes into the emptying process the pool has 295 gallons of water in it, at 12 minutes there are 223 gallons left in the pool. Write an equation that represents the situation.
y = -6x + 295
What is the chemical symbol for gold on the periodic table?
Au
A line is perpendicular to the line y=(2/5)x -4 and has a y-intercept of (0,12). Write the slope-intercept (y=mx+b) equation for the line
y=-(5/2)x+12
Write a slope-intercept equation that goes through the points (-6,15) and (15,8)
y = -(1/3)x + 13
Describe how the line perpendicular to y = (4/7)x + 15 is different from the original line.
The new slope is -(7/4) and they meet at 90-degree angle.
A small business is having a sale on rubber ducks. They begin the day with $132 in profit, at 5 hours in they are at $452 dollars in profit. Write an equation that represents this situation.
y = 64x + 132
What's Mr. Millers favorite color?
Green