Question

Write the following equation of a line that passes through (4,-1) and is perpendicular to 4x+2y=10

Answer 1

y=(1/2)x -3

Explanation:

Simplify equation:

4x+2y=10

2y= -4x+10

y= -2x+5

Insert coordinates (trying to find b) (perpendicular lines have opposite reciprocal slopes) :

-1= (1/2)(4)+b

-1=2+b

-3=b

Insert b and new slope to equation:

y=(1/2)x -3