Question

What is the equation of a line that is parallel to the line `2x + 5y = -20` and passes through the point (-5,-3)?

Answer 1

Your line must have the same slope of the given line to be parallel.
Your line is: `2x+5y=-20`
this can be written in a "friendlier" way isolating `y` on one side:
`y=-2/5x-4`
This is good because you can immediately "see" the slope `m` as the coefficient of `x`, i.e., `-2/5`
Now you can find the equation of the parallel line using:
`y-y_0=m(x-x_0)`
Try by yourself and if you have problems have a look at the solution below:

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Solution:
using the coordinates of your point and the given slope `m` you get:
`y-(-3)=-2/5(x-(-5))`
`y+3=-2/5x-2`
`y=-2/5x-5`