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?

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?

(-3,0) and (2,1)

(1 point) 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.

Answer 1

Drew is correct because the equation y=5x-3 is in slope-intercept form, which clearly shows that the slope is 5 and the y-intercept is -3. When the points (-3,0) and (2,1) are plugged into the equation, they satisfy the equation and lie on the line. Matt's equation -5x+y=-3 is in standard form, but it is not the same as Drew's equation and does not represent the same line.