A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line?

(5,4) & (8,-10)

Step-by-step explanation:

First step:

You can use any number you want for b (I used 4)

Make x=0

Make y=0

Subtract 4 from both sides

Divide both sides by

Second step:

In order to make a line perpendicular to another the slope of the second line will be the negative inverse of the first line. So   will be for the second line.

Then you just need to repeat the process in first step to get the intercepts. (Again I used a random number like -10 for b)

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64