How do you find a standard form equation for the line with (0,0) and (2,3)?

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Answer 1 · 2016-07-31T16:54:02

#y=3/2x#

Assumption: This is a straight line graph.

Standard form equation is:

#y=mx+c#

Where #m# is the slope (gradient) and #c# is the point on the y-axis where the line crosses it.

As one of the point #P_1->(x_1,y_1)=(0,0)#

It means that the line goes through the origin. So it crosses the y-axis at #y=0# thus #c=0# giving

#y=mx+0" " ->" " y=mx#

#m# is the gradient which is #("change in the y-axis")/("change in the x-axis")#

Thus #m= (y_2-y_1)/(x_2-x_1) = (3-0)/(2-0) = 3/2#

So the equation now becomes

#y=3/2x#