Find the slope of the following graphs.
A line is graphed on a coordinate grid through the points with coordinates
negative 1 comma 4, coordinates 0 comma 2, coordinates 1 comma 0, coordinates 2 comma negative 2.
A. one-half
B. 2
C. –2
D. –one-half
Using the formula for slope, (y2-y1)/(x2-x1), we can calculate the slope between each pair of points.
Between (-1, 4) and (0, 2), we have a slope of (2-4)/(0-(-1)) = -2/1 = -2
Between (0, 2) and (1, 0), we have a slope of (0-2)/(1-0) = -2/1 = -2
Between (1, 0) and (2, -2), we have a slope of (-2-0)/(2-1) = -2/-1 = 2
Since all three slopes are the same, we can conclude that the slope of the line is -2 or option C.
A line is graphed on a coordinate grid through points with coordinates negative 2 comma 4 and coordinates 2 comma 1.
A. start fraction 3 over 2 end fraction
B. 1
C. –1
D. –start fraction 3 over 2 end fraction
Using the formula for slope, (y2-y1)/(x2-x1), we can calculate the slope between the two points.
Slope = (1-4)/(2-(-2)) = -3/4
Therefore, the answer is D. -3/4 or -3/4.
A line is graphed through the origin and a point with coordinates 3 comma 2.
A. two-thirds
B. The fraction states 3 over 4.
C. 3
D. –two-thirds
Using the formula for slope, (y2-y1)/(x2-x1), we can calculate the slope between (0,0) and (3,2).
Slope = (2-0)/(3-0) = 2/3
Therefore, the answer is A. 2/3.
Find the slope of the line that goes through the following points.
A table has 2 rows titled x and y.
The first row contains the numbers 0, 1, 2, and 3.
The second row contains the numbers negative 4, negative 3, negative 2, and negative 1.
A. –1
B. 1
C. –4
D. –7
Using the formula for slope, (y2-y1)/(x2-x1), we can choose any two points from the table to calculate the slope. Let's choose (0,-4) and (3,-1).
Slope = (-1-(-4))/(3-0) = 3/3 = 1
Therefore, the answer is B. 1.
A table has 2 rows titled x and y.
The first row contains the numbers negative 1, 0, 1, and 2.
The second row contains the numbers negative 4, negative 1, 2, and 5.
A. –5
B. –3
C. negative one-third
Using the formula for slope, (y2-y1)/(x2-x1), we can choose any two points from the table to calculate the slope. Let's choose (-1,-4) and (2,5).
Slope = (5-(-4))/(2-(-1)) = 9/3 = 3
Therefore, the answer is not listed in the choices given. It is 3.
To find the slope of a line, you can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, we have the following coordinates:
(-1, 4), (0, 2), (1, 0), (2, -2)
Let's calculate the slope:
(change in y-coordinates) = 2 - 4 = -2
(change in x-coordinates) = 0 - (-1) = 1
slope = (-2) / 1 = -2
Therefore, the slope of the line is -2.
So, the correct answer is C. –2.