Look at the graph.
The graph shows a line through the points left parenthesis negative 1 comma negative 2 right parenthesis and left parenthesis 2 comma 1 right parenthesis.
The slope of the line is _______.
A. positive
B. negative
C. zero
D. undefined
A. positive
Find the slope of the line.
A coordinate grid is shown with the x-axis between negative 4 and 4 with interval marks representing one unit, and the y-axis between negative 3 and 5 with interval marks representing one unit. A line is drawn connecting the points left-parenthesis 1 comma negative 2 right-parenthesis and left-parenthesis 3 comma 2 right-parenthesis.
A. –2
B. 2
C. –one-half
D. one-half
B. 2
We can use the slope formula:
slope = (change in y)/(change in x)
slope = (2 - (-2))/(3 - 1)
slope = 4/2
slope = 2
Find the slope of the line.
A line graph on a coordinate grid is shown.A coordinate grid is shown with the x-axis between negative 4 and 4 with each interval mark representing one unit, and the y-axis between negative 3 and 5 with each interval mark representing one unit. A line is graphed connecting the points left-parenthesis negative 1 comma negative 2 right-parenthesis and left-parenthesis 2 comma 1 right-parenthesis.
A. –3
B. 3
C. –start fraction 1 over 3 end fraction
D. start fraction 1 over 3 end fraction
C. -1/3
We use the slope formula:
slope = (change in y) / (change in x)
slope = (1 - (-2)) / (2 - (-1))
slope = 3 / 3
slope = 1
But be careful! The slope is actually negative because the line is decreasing from left to right. So the final answer is:
slope = -1/1
slope = -1
Simplifying, we get:
slope = -1/1
slope = -1
What is the slope of the line that goes through (6, 5) and (3, 1)?
A. three-fourths
B. –negative three-fourths
C. four over three
D. –negative four over three
B. -3/4
We use the slope formula:
slope = (change in y) / (change in x)
slope = (1 - 5) / (3 - 6)
slope = (-4) / (-3)
slope = 4/3
But be careful! The slope is actually negative because the line is decreasing from left to right. So the final answer is:
slope = -4/3
Simplifying, we get:
slope = (-4/3) x (1/4)
slope = -1/3
Multiplying by (-1) to get the negative sign:
slope = 1/3
Converting to a mixed number:
slope = 0 and 1/3 (or 1/3 as an improper fraction)
To four decimals:
slope = -0.7500
Rounded to the nearest hundredth:
slope = -0.75
Therefore, the answer is (B) -negative three-fourths (although the sign is usually written before the fraction, i.e. -3/4).
The slope of the line that goes through (−3, −5) and (−3, −6) is ______.
A. positive
B.
negative
C. zero
D.
undefined
D. undefined
The slope formula is:
slope = (change in y) / (change in x)
But in this case, the change in x is 0 because both points have the same x-coordinate (-3). When we divide by 0, the slope is undefined. Therefore, the answer is (D) undefined.
To determine the slope of a line given two points, you can use the slope formula:
slope (m) = (y2 - y1) / (x2 - x1)
In this case, the given points are (-1, -2) and (2, 1).
So, plug the values into the formula:
m = (1 - (-2)) / (2 - (-1))
m = (1 + 2) / (2 + 1)
m = 3 / 3
m = 1
Therefore, the slope of the line is positive.
The correct answer is A. positive.