Tell whether the equation is direct variation. If it is, find the constant of variation.
4y = -8x
What is yes and k = -2
100
Simplify:
-12x + 4x – 5x + 13
What is -13x + 13
100
A line passes through (1, –5) and (–3, 7). Find the slope.
What is m = -3
100
In the equation y = 4x + 5, what is the y-intercept?
What is b = 5
100
Write a linear equation with a slope of 4 and a y-intercept of 5.
What is y = 4x + 5
200
Write an equation of direct variation that includes the given point:
(3, -4)
What is y = -4/3*x
200
Simplify:
10x – 5y + 3y – 2 – 4x + 6
What is 6x - 2y + 4
200
Find the slope of the line that passes through the points (-2, -2) and (4, 1).
What is m = 1/2
200
Given the table below
X: 0 1 2 3 4
Y: -2 1 4 7 10
What is the y - intercept?
What is b = -2
200
Write a linear equation for the line with m = -2 and y-intercept = 3
What is y = -2x + 3
300
Assume that y varies directly with x:
If y = 4 when x = 12, find y when x = -24
What is y = -8
300
Simplify:
7(3y – 2) + 6y
What is 27y - 14
300
A student finds the slope of the line between (7, 8) and (9, 15). She writes (8 - 15)/(9 - 7) . What mistake did she make?
What is She did not keep the order of the points the same in numerator and the denominator.
300
Given the table below:
X: -2 -1 1
Y: 5 1 -7
What is the y - intercept? Hint, show on your graph.
What is b = -3
300
Given the table below
X: 0 1 2 3 4
Y: -2 1 4 7 10
What is the equation?
What is y = 3x - 2
400
How do you identify a direct variation equation?
The y-intercept is 0.
400
Simplify:
3(x + 4) – 6(x – 2)
What is -3x + 24
400
What is the difference(s) between the graphs of y = 12x + 4 and y = 24x – 4?
What is slope of the first equation is twice the slope of the second equation
400
A line passes through (1, –5) and has a slope of -2. What is the y-intercept?
What is b = -3
400
How do you know the equation below will form a line on the graph?
4x + -6y = 24
There are no exponents on the variables
500
Donuts at Jody's Donut Dive are $3. Write a direct variation equation that represents your cost for a trip to Jody's Donut Dive where you are only buying donuts.
y = 3x
500
Distribute
5(5x - 1)
What is 25x - 5
500
Given the slope of a line you can find missing coordinates by using the slope formula.
Find r if m=4 and the line goes through (r,6) and (4,2).
What is r = 5
500
Given one point on a line and the slope of the line, find the y - intercept.
(-4,-2); m=-2