What is the slope of the line that passes through the points A(5,4) and B(6,7)?
What is m = 3?
100
A line has a slope of -3 and a y-intercept = 5. What is the equation of the line?
What is Y = -3X + 5?
100
Give another term for "Rate of Change".
What is Slope; Rise over Run, Change in Y over Change in X (etc)?
100
Ellie has $10 and she gets $20 allowance each month. Assume she saves all her money. Write an equation that shows how much money she has at the end of X months.
What is Y = 20X + 10?
100
Find the point of intersection of the two lines:
Y = X - 3 and Y = -2X + 6
What is the point (x, y) = (3, 0)?
200
What is the slope of the line that passes through the points P(6,10) and (Q(2, 15)?
What is m = -5/4?
200
Does the line Y = 4X - 5 pass through the point A(-2, -10)? Explain your answer.
What is No? When X = -2, Y = -13.
200
In the equation Y = mX + b, X is the ____________ variable.
What is independent or input?
200
F = (9/5)C + 32 is the equation that converts temperatures from the Celsius to Fahrenheit scale.
If it is 30 degrees Celsius outside, what is the temperature on the Fahrenheit scale?
What is F = 86 degrees Fahrenheit?
200
Is the point Q(6, -2) the point of intersection for the two lines:
Y = -5X + 28 and Y = 2X - 14?
Explain your answer.
What is Yes? When X = 6 then Y = -2 in both equations.
300
What is the slope of the line that passes through the points A(-2, -6) and B(5, -6)?
What is m =0?
300
Convert the following equation into slope-intercept form:
Y + 7 = 3(X - 4)
What is Y = 3X - 19?
300
The term for where the line crosses the x-axis.
What is the x-intercept?
300
At 8am the temperature outside was 45 degrees F. The temperature is rising steadily at a rate of 3 degrees per hour. What will the temperature be at 12:15 pm?
Express your answer to the nearest 1/100th of a degree.
What is 57.75 degrees F?
300
Given the the line Y = 7X - 2, create an equation of another line that never intersects this line.
Explain your reasoning too.
What is Y = 7X + b where b is any number BUT -2?
400
Are the three points A(2, 1), B(8, 11) and C(11,16) all on the same line? Explain your answer.
Yes they are. The common rate of change is 5/3.
400
Write the equation of a line that passes through the point A(4, 8) and has a slope = +3.
What is Y = 3X - 4?
400
Two lines that have the same rate of change are __________.
What is Parallel?
400
Olivia is at a state park 38 miles from Mpls. She can travel 16 miles every 2 hours on her bike. If she starts out at 11am at the park, at what time will she get back to Mpls?
What is 3:45pm?
400
Find the points of intersection of the lines:
Y = 8 and X = -3.
What is the point (x, y) = (-3, 8)
500
The slope between the points S(3, Y) and T(9, 10) is equal to 2. What is Y?
What is Y = -2?
500
Find the equation of the line that passes through the points P(4, 1) and Q(1, 7).
What is Y = -2X + 9?
500
The French mathematician for whom the Cartesian plane is named.
Who is Rene Decartes?
500
Alan is learning to scuba dive. The equation D = 20L + 15 represents the depth he can dive (D) in feet based on the number of lessons (L) that he has taken.
Alan can now safely dive to 155 feet. How many lessons has he taken?
What is L = 7 lessons?
500
Find a point of intersection of the lines:
6X + 3Y = 9 and 2X - 2Y = 6.