Question

What is the relationship between the lines determined by these two equations?
3x + 6y = 8
y = 2x – 8

Answer 1

try to get the lines in the same form.
so for the first one,
3x+6y = 8
solve for y
6y = -3x + 8
y = -(3/6)*x + 8/6
y = -(1/2)x = 4/3

Notice now that the slope of this line is -1/2.
The slope of the second line (y = 2x - 8) is 2
We know this because y= mx +b; m= slope
When the slopes are the negative reciprocals of one another, that means that they are perpendicular!

Answer 2

thank you