20 ! i need an answer now! what is the equation of a line that passes through the the point (4,2) and is perpendicular to the line whose equation is y=x/3 -1? hurry!

perpendicular means the slope is the negative reciprocal

1/3 becomes -3

point slope form

y-y1 = m(x-x1)

y-2 = -3(x-4)

change it to slope intercept form

distribute

y-2 = -3x +12

add 2 to each side

y=-3x+14

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.