Write an equation of the line that passes through (3,2) and is perpendicular to the line y= 1/3x-3

Answer:

y = - 3x + 11

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 = [tex]\frac{1}{3}[/tex] x - 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

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

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (3, 2) into the partial equation

2 = - 9 + c ⇒ c = 2 + 9 = 11

y = - 3x + 11 ← equation of perpendicular line

3. You and your friends were playing basketball last week. You were short a
player, so your younger sister joined the game. She crushed it scoring 12
shots for 28 points.
How many 2 point and 3 point baskets did she score?

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