Question

Write an equation of a line in slope -intercept form thag is parallel to the line 3x-2y=8​

Answer 1

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

`y = mx + b`

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

We have the following equation of the line:

`3x-2y = 8`

We manipulate algebraically:

`-2y = -3x + 8\\y = \frac {3} {2} x-4`

Thus, a parallel line will have an equation of the form:

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

Answer:

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