Passing through the point and perpendicular to the given line(-2,-2); y=-1/5x+9

y = 5x + 8

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 = - x + 9 is in this form

with slope m = -

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

= - , hence

= - 1 / - = 5

y = 5x + c ← is the partial equation

to find c substitute (- 2, - 2) into the partial equation

- 2 = - 10 + c ⇒ c = - 2 + 10 = 8

y = 5x + 8 ← 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)