emileeslusser1
emileeslusser1 emileeslusser1
  • 16-12-2019
  • Mathematics
contestada

Line p has a slope of -3. Line t is perpendicular to line p and passes through the point (9,2). What is the equation for line t?

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 16-12-2019

Answer:

y = (1/3)x - 1

Step-by-step explanation:

The product of the slopes of perpendicular lines is -1. That makes the slopes of perpendicular lines negative reciprocals. Since line p has slope -3, the slope of line t is 1/3. Also, line t passes through point (9, 2).

y = mx + b

m = slope

y = (1/3)x + b

Now we replace x and y with the x- and y-coordinates of the given point, respectively, and we solve for b.

2 = (1/3)(9) + b

2 = 3 + b

b = -1

Now we replace b with -1.

y = (1/3)x - 1

Answer Link

Otras preguntas

what is 27/2 divided by 9/4
A 2-inch-wide frame is to be built around theregular decagonal window shown. At what angles a and bshould the corners of each piece be cut?
compare and contrast an electric generator and a battery??
a croquet ball weighs 460 grams. together a golf ball and a croquet ball weigh the same as 11 golf balls.how much does 1 golf ball weigh?
a croquet ball weighs 460 grams. together a golf ball and a croquet ball weigh the same as 11 golf balls.how much does 1 golf ball weigh?
what is 27/2 divided by 9/4
what is 27/2 divided by 9/4
after 1081 ,what was the byzantine being weakened by?
a croquet ball weighs 460 grams. together a golf ball and a croquet ball weigh the same as 11 golf balls.how much does 1 golf ball weigh?
compare and contrast an electric generator and a battery??