lilfreaky20 lilfreaky20
  • 26-09-2019
  • Mathematics
contestada

Write the equation of a line that is parallel to y = 1/2x - 4 and that passes through the point (9, -6)

Respuesta :

altavistard
altavistard altavistard
  • 26-09-2019

Answer:

y = (1/2)x - 21/2

Step-by-step explanation:

since both lines are parallel, both have the slope 1/2.

Start with the equation y = mx + b, and find b, when m = 1/2, x = 9 and y = -6:

-6 = (1/2)(9) + b

Mult. all terms by 2 removes the fractional coefficient 1/2:

-12 = 9 + 2b.

Then -21 = 2b, and b = -10 1/2, or -21/2.

The equation of the line is y = (1/2)x - 21/2.

Answer Link

Otras preguntas

Help please! Appreciate it
During photosynthesis, plants capture light energy from the Sun to break the bonds in reactants, such as carbon dioxide and water, and form carbon-containing mo
3469131824 what number is next
Calculate the ph of a solution that is 0.135 m hcl.
136.9÷77 show the work
Wall decorations made from small pieces of marble set in mortar were commonly seen in Roman art. What is this type of artwork called?
What is the limit of (1-cosx)/(sin^2x) and x approaches 0 (number 20 in the picture)
What is the main goal of a story's protagonist?
A rectangular school gym has a length of x+19 and a width of x-15. Which measure does (x+19)(x-15)represent?
In fig. 2.24, a student at a window on the second floor of a dorm sees his math professor walking on the sidewalk beside the building. he drops a water balloon