What is the equation in point-slope form for the line parallel to y = –2x + 10 that contains j(6, 8)?
choose one answer.
a. x – 8 = 2(y – 6)
b. y – 8 = 2(x – 6)
c. y + 8 = –2(x – 6)
d. y – 8 = –2(x – 6)

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3