What is the equation in slope-intercept form of a line that is perpendicular to y=2x+2 and passes through the point (4,3)? (A) y=−12x+5

(B) y=−2x+2

(C) y=2x+3

(D) y=2x+5

y = - x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 2 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

= - = - , thus

y = - x + c ← is the partial equation

To find c substitute (4, 3) into the partial equation

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = - x + 5 ← equation of perpendicular line

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers