3. Find the equation of a line perpendicular to y=-9x+b and through point (-18,3)

y = x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = - 9x + b ← is in slope- intercept form

with slope m = - 9

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

= - = - = , thus

y = x + b ← is the partial equation

To find b substitute (- 18, 3) into the partial equation

3 = 2 + b ⇒ b = 3 - 2 = 1

y = x + 1 ← equation of perpendicular line

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

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