Question
Drew says the equation for the line is y=5x−3
. Matt says the equation should be −5x+y=−3
. Who is correct and why?
Points on graph are 0,-3 and 1,2
(1 poin
Responses
Drew is correct because the line has a slope of 5 and a y-intercept of -3.
Drew is correct because the line has a slope of 5 and a y-intercept of -3.
Matt is correct because when you plug in the points (0,-3) and (1,2) from the graph for x
and y
they are solutions for the equation.
Matt is correct because when you plug in the points (0,-3) and (1,2) from the graph for x and y they are solutions for the equation.
Neither are correct. The equations don't graph that line.
Neither are correct. The equations don't graph that line.
Both are correct. Drew used the slope-intercept form and Matt used the standard form of writing equations.
Both are correct. Drew used the slope-intercept form and Matt used the standard form of writing equations.
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. Matt says the equation should be −5x+y=−3
. Who is correct and why?
Points on graph are 0,-3 and 1,2
(1 poin
Responses
Drew is correct because the line has a slope of 5 and a y-intercept of -3.
Drew is correct because the line has a slope of 5 and a y-intercept of -3.
Matt is correct because when you plug in the points (0,-3) and (1,2) from the graph for x
and y
they are solutions for the equation.
Matt is correct because when you plug in the points (0,-3) and (1,2) from the graph for x and y they are solutions for the equation.
Neither are correct. The equations don't graph that line.
Neither are correct. The equations don't graph that line.
Both are correct. Drew used the slope-intercept form and Matt used the standard form of writing equations.
Both are correct. Drew used the slope-intercept form and Matt used the standard form of writing equations.
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Answers
GPT-4o mini
Both Drew and Matt are correct.
Drew's equation, \( y = 5x - 3 \), is in slope-intercept form (y = mx + b), where the slope (m) is 5 and the y-intercept (b) is -3.
Matt's equation, \( -5x + y = -3 \), can be rearranged into slope-intercept form. If we add \( 5x \) to both sides, we get:
\[
y = 5x - 3
\]
This shows that both equations are equivalent and represent the same line.
Therefore, the correct response is:
**Both are correct. Drew used the slope-intercept form, and Matt used the standard form of writing equations.**
Drew's equation, \( y = 5x - 3 \), is in slope-intercept form (y = mx + b), where the slope (m) is 5 and the y-intercept (b) is -3.
Matt's equation, \( -5x + y = -3 \), can be rearranged into slope-intercept form. If we add \( 5x \) to both sides, we get:
\[
y = 5x - 3
\]
This shows that both equations are equivalent and represent the same line.
Therefore, the correct response is:
**Both are correct. Drew used the slope-intercept form, and Matt used the standard form of writing equations.**