The lines shown below are perpendicular. if the green line has a slope of -1/4, what is the slope of the red line

  4

Step-by-step explanation:

You can read the slope of the red line from the graph. It has a rise of 4 for a run of 1, so has slope 4/1 = 4.

__

You also know that the slope of a perpendicular line will be the negative reciprocal of the slope of the given line:

  -1/(-1/4) = 4

The slope of the red line is 4.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

47

step-by-step explanation: