Question

How do you write an equation of a line that is parallel to y = 2x - 5 and passes through the point (0,-3)?

Answer 1

`y=2x-3`

Explanation:

By looking the equation of the line
`y=2x-5`
the slope is 2, any line parallel will have the slope=2
So the equation of any parallel line is `y=2x+c`
Putting the values of the point `(0,-3)` weobtain the value of c
`-3=0+c`
so `c=-3`
and the equation of the line is `y=2x-3`