What is the y-intercept of the line perpendicular to the line Y= -3/4 x + 5 that includes the point (-3,-3?

The y intercept is at  y = 1

Step-by-step explanation:

Step 1 :

Given,  line's equation is  =  Y= - x + 5

Slope of the line perpendicular to this line = [As the product of the slope of 2 perpendicular lines is -1]

The point  (-3,-3) lies  on the line

Hence the new line's equation  can be obtained using the formula

(y - y1 ) = m (x-x1) ,

where (x1,y1) = point on the line

              m    = slope of the line

Substituting,

y + 3 =   (x + 3)

y + 3 =   x + 4

y =   x + 1

Step 2 :

To find the y intercept.

At the point of y - intercept, that is when the line touches the y axis, the x co ordinate = 0

So substituting x = 0 in the line's equation, we have

y = 0 + 1 = 1

y = 1

Step 3 :

Answer :

The y intercept is at  y = 1

h * s * a

h = history teacher

s = science teacher

a =   art teacher.

i see no data table, but just multiply the number of history teachers, science teachers, and art teachers.