Question

What is the equation of a line parallel to y = − (1/2)x + 6 that passes through (− 4, 1)?

Answer 1

y=-1/2x-1

Explanation:

In parallel equations: Have the same slope and different y-intercepts so you solve for B by inputting the coordinate given into the equation and solving it. Perpindular slopes have different slopes (the opposite and reciprocal of each other: depending on if the original slope in the original equation is a positive or negative slope) and the y-intercept

Original equation:y = − (1/2)x + 6

1=-1/2(-4)+b

1=2+b

-2 -2

-1=b

Answer 2

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

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = -
`(1)/(2)` x + 6 ← is in slope- intercept form

with slope m = -
`(1)/(2)`

• Parallel lines have equal slopes , then

y = -
`(1)/(2)` x + c ← is the partial equation

to find c , substitute (- 4, 1 ) into the partial equation

1 = -
`(1)/(2)` (- 4) + c = 2 + c ( subtract 2 from both sides )

- 1 = c

y = -
`(1)/(2)` x - 1 ← equation of parallel line