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

$y=3/2x$