Question

Write an equation of the line that passes through (2,-5) and is parallel to the line 2y=3x+10 .

Answer 1

Answer:
`y+5=(3)/(2)(x-2)`

Explanation:

`2y=3x+10 \implies y=(3)/(2)x+5`

Parallel lines have the same slope, so the slope of the line we need to find is 3/2.

Substituting into point-slope form, the equation is
`y+5=(3)/(2)(x-2)`.