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The table shows a proportional relationship. X -4 -2 0 8 Y-6 -3 0 12. Y=

Mathematics

1 answer:

arlik [135]3 years ago

3 0

Answer: Y= the vertical line of the graph.

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

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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,

Adding 2x on both sides

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

Dividing both sides by 3

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

Simplifying

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

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:

#learnwithBrainly

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