Write the equation -3x+2y=7 in slope intercept form.

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TaeKwonDoIsDead TaeKwonDoIsDead · Answer 1 · 2019-04-24T21:43:49+02:00

Answer:

[tex]y=\frac{3}{2}x+\frac{7}{2}[/tex]

Step-by-step explanation:

Slope-intercept form is given by y = mx + b

We need to re-arrange the equation given to have y to the left side of the equal sign (in other words, solve for y). Steps are shown below:

[tex]-3x+2y=7\\2y=3x+7\\y=\frac{3x+7}{2}\\y=\frac{3x}{2}+\frac{7}{2}\\y=\frac{3}{2}x+\frac{7}{2}[/tex]

the last answer is correct.

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carlosego carlosego · Answer 2 · 2019-04-24T21:47:12+02:00

For this case we have that the line equation of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut point with the y axis.

We have the equation:

[tex]-3x + 2y = 7[/tex]

By adding 3x to both sides of the equation we have:

[tex]-3x + 3x + 2y = 7 + 3x\\2y = 3x + 7[/tex]

Dividing between 2 on both sides of the equation:

[tex]\frac {2y} {2} = \frac {3x} {2} + \frac {7} {2}\\y = \frac {3x} {2} + \frac {7} {2}[/tex]

ANswer:

Option D