Question

Consider the line 2x+6y= -4. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?​

Answer 1

the slope of the line perpendicular to that line is 6/2

Explanation:

Find the slope of the original equation by putting it into y=mx + b form

2x+6y=-4 Given

2x-(2x)+6y=-4-(2x) Subtract 2x from both sides

6y= -2x -4 Simplify

6y/6= -2x/6 -4/6 Divide both sides by 6

y= -2/6 x - 4/6 Simplify

*perpendicular slopes are opposite reciprocals*

-2/6 = slope

2/6 is the opposite of -2/6

6/2 is reciprocal of 2/6