Is $3 y - 7 = 10 x$ $3y - 7 = 10x$ a direct variation equation?

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Answer 1 · 2015-04-09T01:33:21

No. In order to be a direct variation, the line must go through the origin, $(0, 0)$ $(0,0)$ .

Convert $3 y - 7 = 10 x$ $3y-7=10x$ to slope-intercept form.

$3 y - 7 = 10 x$ $3y-7=10x$

Subtract 7 from both sides.

$3 y = 10 x + 7$ $3y=10x+7$

Divide both sides by 3.

$y = \frac{10}{3} x + \frac{7}{3}$ $y=10/3x+7/3$

If $x = 0$ $x=0$ :

$y = \frac{10}{3} \cdot 0 + \frac{7}{3}$ $y=10/3*0+7/3$

$y = \frac{7}{3}$ $y=7/3$

The point is $(0, \frac{7}{3})$ $(0,7/3)$

So the line does not go through the origin.

graph{y=10/3x+7/3 [-10, 10, -5, 5]}

Is 3y−7=10x3y - 7 = 10x a direct variation equation?