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snow_lady [41]
2 years ago
13

3. Rewrite -2x + 3y = 6 in slope intercept form.​

Mathematics
1 answer:
zaharov [31]2 years ago
4 0

The equation in slope-intercept form is:

y=\frac{2}{3}x+2

Further explanation:

The standard slope-intercept form is:

y=mx+b

Given equation is:

-2x+3y=6

In order to bring the equation in slope-intercept form we have to isolate y on left hand side of equation

So,

<u>Adding 2x on both sides</u>

-2x+3y+2x=6+2x\\3y=2x+6

<u>Dividing both sides by 3</u>

\frac{3y}{3}=\frac{2x+6}{3}\\y=\frac{2x+6}{3}

<u>Simplifying</u>

y=\frac{2x+6}{3}\\y = \frac{2x}{3}+\frac{6}{3}\\y=\frac{2}{3}x+2

The equation in slope-intercept form is:

y=\frac{2}{3}x+2

Keywords: Slope-intercept form, linear equation

Learn more about slope-intercept form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240

#learnwithBrainly

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