Show:
Mid Point and Distance
Graphing Linear Equations
Linear Inequalities and Equations
Graphing Linear Inequalities
X and Y Intercepts
100
Name the formulas to find the mid-point and distance.
Mid-point: (x2+x1/2, y2+y1/2) Distance: Check with Ms. Ryther
100
Graph the following linear equation with at least 3 points: -14x+7y=-28
y=2x-4
100
Put the following into slope intercept form: 18x-3y=-7
y=6x+7/3
100
Give 3 coordinates that satisfy the equation y=3x+8.
(1, 11) (2, 14) (3, 17)
100
What are the x and y intercepts of the following equation: -3y=4x+2
x=-2/3 y=-1/2
200
What is the mid-point and the distance between the following coordinates: (8,9) and (-1,1)?
Distance:12.0 Mid-Point: (3.5,2)
200
Graph the following linear equation: -32x-8y=-16
y=-4x+2
200
Find the x and y intercepts of the following equation: 2x-5y=8
x=-8/5 y=4
200
Give 4 coordinates that satisfy the equation: 2x+3y>2
y>-2/3x+2/3
200
What are the x and y intercepts of the following equation: 4x-8=-y
y=8 x=2
300
What is the mid-point and distance between the following coordinates: (4,-9) and (0-6)
Distance: 5 Mid-Point: (2, -7.5)
300
What makes an equation a linear equation? Give two qualities.
1) It is a straight line. 2) It is in the form of y=mx+b 3) It has a constant rate when graphed.
300
Solve the following inequality and give one solution: -2y>3x+4
y<-3/2x-2
300
Graph the following inequality: y>2x+6
Show Ms. Ryther graph.
300
What are the x and y intercepts of the following equation: 3y=14x+12
Y=4 x=-6/7
400
What is the distance and mid-point of the following coordinates: (-9, -9) and (-19,-21)
Distance: 15.6 Mid-Point:(-14,-15)
400
Graph the following equation: 42x-7y=14
y=6x-2
400
Solve the following inequality and give two solutions: -3y<8x+2
y>8/3x-2/3
400
What is the inequality?
Show graph.
400
What are the x and y intercepts and what do they tell us in a word problem?
The x and y intercepts are the points in which cross the x and y axis. They tell us how much of a quantity we have when one of the coordinates (x or y) is at zero.
500
The distance formula represents another formula we have worked with this year. What is the formula and what are the similarities and differences between the two?
The distance formula is another version of the Pythagorean theorem except we are using coordinates instead of side lengths. When the coordinates are subtracted from one another they give us side lengths. We then have the exact same formula as the pythagorean theorem.
500
Markus works at the car wash. He makes 20 dollars a day and gets $3 in tips for each car he washes. Write an equation and then graph the equation.
Equation: y=3x+20 Show Graph
500
Graph the following inequality and list 3 solutions: y>2x+2
Ms. Ryther has answer
500
Name the following inequality.
Show graph.
500
Explain what the x and y intercepts will tell us in the following problem: Darlene wants to buy an arrangement of flowers. She has $70. Carnations cost $5 per flower and tulips cost $10.
The x and y intercepts tell us how much of each flower we can buy if Darlene decides to get 0 of either carnations or flowers. With 0 carnations, she could get 7 tulips and with 0 tulips she could get 14 carnations.