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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?

(the points on the graph:(1,2) (0,-3))

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.

Drew is correct because the equation y=5x−3 is in slope-intercept form (y=mx+b), where m is the slope (5) and b is the y-intercept (-3). The points (1,2) and (0,-3) do satisfy the equation y=5x−3 when plugged in. Matt's equation −5x+y=−3 is in standard form (Ax+By=C), and is equivalent to y=5x−3. Therefore, both equations represent the same line, but Drew's equation is in a more standard form for lines.