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Put the following equation of a line into slope-intercept form, simplifying all fractions. 2x-3y=−9

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Answer:

Step-by-step explanation:

Slope-intercept from: y = mx +c

Here, m is the slope & c is the y-intercept.

So, we have to isolate y. To isolate y first subtract 2x from both sides.

2x - 3y = -9

     -3y = -2x -9

Now, divide the entire equation by the co efficient of y (-3)

[tex]\dfrac{-3}{-3}y=\dfrac{-2}{-3}x-\dfrac{9}{-3}\\\\\\y=\dfrac{2}{3}x + 3[/tex]