Finding Slope of a Line
Identify the slope of the following equation. y = mx
the variable m
What is the linear equation?
y = mx
find the value of k given that both points lie on a line passing through the origin.
(-12, -2) and (k, 8)
48
Evaluate:
-2 - 5
-7
Write an equation for a line through the point (-3, 3) and (0,0)
y=-1x
Identify the slope of the following equation. y = 2x
slope is 2
y=-3x
find the value of k given that both points lie on a line passing through the origin.
(k, 7) and (-81, -9)
-63
Solve:
3x - 2 = -14
x = -4
A line passes through the origin and the point (3, 6). Which point is also on the line?
(6, 3) (2, 4) (4, 6) (1, 4)
(2,4)
Name three ways to describe slope.
Possible answers: rate of change, rise over run, slope = m in y = mx + b, unit rate
Graph the following equation. Include at least 3 points. y = 1/3x
Graph should start with the point at (0, 0) Movement should be 1 up and 3 to the right continuing to another point. Movement could also be 1 down and 3 to the left.
A line passes through (6, 3), (8, 4), and (n, -2). Find the value of n.
-4
A graph showing the distance a person has walked over time is an example of a ____________ graph
continuous
Write an equation for a line with the following two points. Find the slope. (16, -10) (0,0)
y=-5/8x
or
y=-0.625x
Find the slope of the line that includes the following points. (4, -5) (-4, 5)
-5/4
Graph the following equation. Include at least three points. y = -2x
Graph should begin with a point on (1,-2) or (-1,2). Movements should follow a rise of 2 and a run of 1.
An escalator descends at a constant rate. After 15 seconds, the escalator is 10 feet below its original position. After 45 seconds, it is 30 feet below its original position. Which equation represents the change in height in feet, y, after x seconds of riding the escalator?
y =-2/3 x
Solve the equation 3x - 2(x + 1) = 2x - 7.
5
Solve 4(2 + x) = 6 + 6x.
x=1
Find the slope of the line that includes the following points. (12,-6) (-12,6)
-1/2
Make a table of values with at least rows and two columns. Make the unit rate of this table 2.5. The linear equation of this table is y=2.5x.
Table should have a unit rate of 2.5 throughout. Check answers.
Triangle ACB with coordinates A(0, 0), C(1, 2), and B(2, 4) is similar to triangle BED. If vertex D has coordinates (6, 12), what are the coordinates of vertex E?
(3,6)
Is x = 2 a solution to the equation 2(x - 5) + 3 = 13 ?
No it is not a solution.
One pet store charges $51 to groom a cat. Another pet store’s grooming costs in dollars, g, are modeled by the equation g = 65.5c, where c is the number of cats. How much more would it cost to groom 3 cats at the more expensive store?
43.50