Find an equation for line perpendicular to 2x+6y=18 and goes through the point (8,-1)

y = 3x - 25

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 )

Given

2x + 6y = 18 ( subtract 2x from both sides )

6y = - 2x + 18 ( divide terms by 6 )

y = - x + 3 ← in slope- intercept form

with slope m = -

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

= - = - = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (8, - 1 ) into the partial equation

- 1 = 24 + c ⇒ c = - 1 - 24 = - 25

y = 3x - 25 ← equation of perpendicular line

there are 25 people coming to the party

step-by-step explanation:

the text says that there will be 22 children at this party, 1 teacher, and 2 parents. so if you add them all together (22+1+2) it will equal 25. (=25)

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right