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?
Answers
GPT 3.5
Both Drew and Matt are correct in a sense.
Drew's equation y=5x-3 is in slope-intercept form, which is a common form for representing the equation of a line. It is easy to see that the slope of the line is 5 and the y-intercept is -3.
Matt's equation -5x+y = -3 is in standard form, which is another common form for representing the equation of a line. By rewriting the equation in slope-intercept form (y = 5x - 3), we see that Matt's equation is equivalent to Drew's equation.
Therefore, both equations represent the same line and both Drew and Matt are correct.
Drew's equation y=5x-3 is in slope-intercept form, which is a common form for representing the equation of a line. It is easy to see that the slope of the line is 5 and the y-intercept is -3.
Matt's equation -5x+y = -3 is in standard form, which is another common form for representing the equation of a line. By rewriting the equation in slope-intercept form (y = 5x - 3), we see that Matt's equation is equivalent to Drew's equation.
Therefore, both equations represent the same line and both Drew and Matt are correct.