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

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.