Question

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

Answer 1

`y=(3)/(2)x+(7)/(2)`

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=(3x+7)/(2)\\y=(3x)/(2)+(7)/(2)\\y=(3)/(2)x+(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