Question

Write the equation of the line that is parallel to y=- 3/2and passes through
point (2,3).

Answer 1

`y-3=-(3)/(2)(x-2)`

Explanation:

In order to find an equation that is parallel, it must have the same slope. This means the y intercept could literally be anything.

By equation of the line, we can write it in point slope form

`y-y1=m(x-x1)`

where y1 and x1 are points on the coordinate plane and m is the slope.

We are already given the slope, so we just plug in the numbers.

`y-3=-(3)/(2)(x-2)`