Question

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

Answer 1

Answer:

$y=\frac{3}{2}x+\frac{7}{2}$

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:

$-3x+2y=7\\2y=3x+7\\y=\frac{3x+7}{2}\\y=\frac{3x}{2}+\frac{7}{2}\\y=\frac{3}{2}x+\frac{7}{2}$

the last answer is correct.

Answer 2

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

$y = mx + b$

Where:

m: It's the slope

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

We have the equation:

$-3x + 2y = 7$

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

$-3x + 3x + 2y = 7 + 3x\\2y = 3x + 7$

Dividing between 2 on both sides of the equation:

$\frac {2y} {2} = \frac {3x} {2} + \frac {7} {2}\\y = \frac {3x} {2} + \frac {7} {2}$

ANswer:

Option D