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

y = (1/2) x - 3

Step-by-step 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