Question

One equation in a linear systemis x+2y=4. Write another equation so that the system has the unique solution (-2,3)

Answer 1

easiest way would be to find the line perpendicular to this line

Answer 2

as you know lines that are perpendicular cross at one specific point at 90 degrees

Answer 3

solve your equation for y should get you

2y=4-x

y=2+(-1/2)x

Answer 4

which is equal to (-1/2)x+2

Answer 5

in order for a line to be orthogonal or perpendicular to this other line, the slope must be the opposite reciprocal of the slope you have

Answer 6

orthagonal?