Find the slope of the line that is perpendicular to the line that passes through the points (5,2) and (8,1)

3

Step-by-step explanation:

The slope of the line passing through the points is

m = (y2-y1)/(x2-x1)

    = ( 1-2)/(8-5)

   = -1/3

The slope that is perpendicular is the negative reciprocal which is

- ( 1/(-1/3)

+ 3/1

The perpendicular slope is 3

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.