Multiple Choice
What is the slope of the line that passes through the points (–2, 5) and (1, 4)?
(1 point)
Responses
–3
–3
–2
–2
–
– Image with alt text: The fraction negative one third or 1/3.
The correct answer is –1/3 or -1/3.
Multiple Choice
What is the slope of the line that passes through the points (–2, 5) and (1, 4)?
(1 point)
Responses
–3
–3
–2
–2
–
– Image with alt text: The fraction negative one third
1/3
The correct answer is –1/3 or -1/3.
A line has slope –. Through which two points could this line pass?
(1 point)
Responses
(12, 13), (17, 10)
(12, 13), (17, 10)
(16, 15), (13, 10)
(16, 15), (13, 10)
(0, 7), (3, 10)
(0, 7), (3, 10)
(11, 13), (8, 18)
(11, 13), (8, 18)
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The correct answer is (12, 13), (17, 10)
The pair of points (6, y) and (10, –1) lie on a line with slope . What is the value of y?
(1 point)
Responses
–5
–5
–2
–2
2
2
5
5
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To solve this problem, we can use the formula for calculating slope:
slope = (change in y) / (change in x)
Given that the slope is unknown (as indicated by the blank in the question), we can write the equation for the slope as:
slope = (y - (-1)) / (6 - 10)
Simplifying the equation:
slope = (y + 1) / (-4)
Since the slope is -, we have:
- = (y + 1) / (-4)
To solve for y, we can cross-multiply:
- * (-4) = y + 1
4 = y + 1
Subtracting 1 from both sides:
y = 4 - 1
y = 3
Therefore, the value of y is 3.