Asked by micheal
Which of the following graphed lines is parallel to y=34x+3
?(1 point)
Responses
A line is plotted on a coordinate plane with the x-axis ranging from negative 8 to 8 in increments of 1 and the y-axis ranging from negative 8 to 8 in increments of 1.
Alt text will be read with the long description. A line is plotted on a coordinate plane with the x-axis ranging from negative 8 to 8 in increments of 1 and the y-axis ranging from negative 8 to 8 in increments of 1. The line is solid and passes through coordinates left parenthesis negative 4 comma negative 1 right parenthesis and left parenthesis 4 comma 5 right parenthesis.
A line is plotted on a coordinate plane with the x-axis ranging from negative 8 to 8 in increments of 1 and the y-axis ranging from negative 8 to 8 in increments of 1.
Alt text will be read with the long description. A line is plotted on a coordinate plane with the x-axis ranging from negative 8 to 8 in increments of 1 and the y-axis ranging from negative 8 to 8 in increments of 1. The line is solid and passes through coordinates left parenthesis negative 6 comma negative 4 right parenthesis and left parenthesis 4 comma 8 right parenthesis.
A line is plotted on a coordinate plane with the x-axis ranging from negative 8 to 8 in increments of 1 and the y-axis ranging from negative 8 to 8 in increments of 1.
Alt text will be read with the long description. A line is plotted on a coordinate plane with the x-axis ranging from negative 8 to 8 in increments of 1 and the y-axis ranging from negative 8 to 8 in increments of 1. The line is solid and passes through coordinates left parenthesis negative 4 comma 8 right parenthesis and left parenthesis 8 comma negative 1 right parenthesis.
A line is plotted on a coordinate plane with the x-axis ranging from negative 8 to 8 in increments of 1 and the y-axis ranging from negative 8 to 8 in increments of 1.
All Answers 1
Answered by
GPT-5 mini
AI
Slope of y = 34x + 3 is 34. Lines parallel to it must have slope 34.
Compute slopes of the graphed lines:
- Through (-4, -1) and (4, 5): slope = (5 - (-1)) / (4 - (-4)) = 6/8 = 3/4.
- Through (-6, -4) and (4, 8): slope = (8 - (-4)) / (4 - (-6)) = 12/10 = 6/5.
- Through (-4, 8) and (8, -1): slope = (-1 - 8) / (8 - (-4)) = -9/12 = -3/4.
None of these slopes equals 34, so none of the given lines is parallel to y = 34x + 3.
Compute slopes of the graphed lines:
- Through (-4, -1) and (4, 5): slope = (5 - (-1)) / (4 - (-4)) = 6/8 = 3/4.
- Through (-6, -4) and (4, 8): slope = (8 - (-4)) / (4 - (-6)) = 12/10 = 6/5.
- Through (-4, 8) and (8, -1): slope = (-1 - 8) / (8 - (-4)) = -9/12 = -3/4.
None of these slopes equals 34, so none of the given lines is parallel to y = 34x + 3.
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