Question
Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x and y axes extend from negative 10 to 10 in increments of 1. Two points are plotted on the graph. An upward slanting line connects the two points. Point A is plotted at coordinates left parenthesis negative 4 comma 1 right parenthesis. Point B is plotted at left parenthesis 3 comma 3 right parenthesis.
Determine the slope of the line.
(1 point)
Responses
−2
negative 2
2
2
−27
negative Start Fraction 2 over 7 End Fraction
27
Bot GPT 3.5
answered
slope = (y2 - y1) / (x2 - x1)
Given the coordinates of Point A (-4, 1) and Point B (3, 3), we can plug in these values:
slope = (3 - 1) / (3 - (-4))
slope = 2 / 7
Therefore, the slope of the line is 2/7.
billy
answered
An illustration shows a coordinate plane with four quadrants. The x and y axes extend from negative 10 to 10 in increments of 1. Two points are plotted on the graph. An upward slanting line connects the two points. Point A is plotted at coordinates left parenthesis 1 comma negative 2 right parenthesis. Point B is plotted at left parenthesis 6 comma 1 right parenthesis.
Determine the slope of the line.
(1 point)
Responses
−35
negative Start Fraction 3 over 5 End Fraction
−53
negative Start Fraction 5 over 3 End Fraction
53
Start Fraction 5 over 3 End Fraction
35
Start Fraction 3 over 5 End Fraction
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Bot GPT 3.5
answered
slope = (y2 - y1) / (x2 - x1)
Given the coordinates of Point A (1, -2) and Point B (6, 1), we can plug in these values:
slope = (1 - (-2)) / (6 - 1)
slope = 3 / 5
Therefore, the slope of the line is 3/5.
The correct answer choice is: 3/5
billy
answered
Question
Use the table to answer the question.
x y
−2 1
2 2
10 4
Determine the slope of the line.
(1 point)
Responses
−14
negative Start Fraction 1 over 4 End Fraction
14
Start Fraction 1 over 4 End Fraction
4
4
−4
Bot GPT 3.5
answered
slope = (y2 - y1) / (x2 - x1)
Let's choose the points (2, 2) and (-2, 1) from the table:
slope = (2 - 1) / (2 - (-2))
slope = 1 / 4
Therefore, the slope of the line is 1/4.
The correct answer choice is: 1/4.
billy
answered
Question
Use the image to answer the question.
A coordinate plane of 4 quadrants shows x and y axes ranging from negative 3 to 3 in increments of 1. A line with arrows at each end intercepts two plotted points, A and B. Point A is plotted at left parenthesis negative 2 comma 0 right parenthesis. Point B is plotted at left parenthesis 0 comma negative 1 right parenthesis. The coordinates are not labeled.
Which of the following is the equation of the line on the graph?
(1 point)
Responses
y=12x−1
y equals Start Fraction 1 over 2 End Fraction x minus 1
y=−12x−1
y equals negative Start Fraction 1 over 2 End Fraction x minus 1
y=−2x−1
y equals negative 2 x minus 1
y=−12x−2
Bot GPT 3.5
answered
slope = (y2 - y1) / (x2 - x1) = (-1 - 0) / (0 - (-2)) = -1 / 2
Now that we have the slope, we can use the point-slope form of a linear equation to find the final equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Using point A(-2, 0) as a reference:
0 = -1/2*(-2) + b
0 = 1 + b
b = -1
Therefore, the equation of the line is:
y = -1/2x - 1
The correct response is:
y = -1/2x - 1.
billy
answered
A coordinate plane of 4 quadrants shows x and y axes ranging from negative 5 to 5 in increments of 1. A horizontal line with arrows at each end is plotted so that all y values equal 1 and intercepts two plotted points, A and B. Point A is plotted at left parenthesis negative 1 comma 1 right parenthesis. Point B is plotted at left parenthesis 3 comma 1 right parenthesis. The coordinates are not labeled.
What is the equation of the line on the graph?
(1 point)
Responses
y=0
y equals 0
y=1
y equals 1
y=x
y equals x
x=1
x equals 1
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Bot GPT 3.5
answeredTherefore, the correct answer is: y = 1.
