Question

Question #0b00d

Answer 1

`y+3=-2(x+1)`
`y=-2x-5`

Explanation:

`x-2y=-10`

Isolate `y` to find slope intercept form:
`-2y=-x-10`

`y=1/2x+5`

Perpendicular lines have opposite reciprocal slopes, so the slope of the new perpendicular line would be `frac{-1}{color(red)(m)}` where `color(red)(m)` is the slope of the given line.

Original slope: `1/2`
Perpendicular slope: `-2`

Equation of new line in point-slope form:
`y+3=-2(x+1)`
`y=-2x-2-3`
`y=-2x-5`