Question

Theequationforlinefcanbewrittenasy = –3x − 6

. Line
gisparalleltolinefandpassesthrough
(6, –8) . What
istheequationofline
g ?


Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Answer 1

`y = - 3x + 10`

Explanation:

We are asked to find a line parallel to line f

`- 3x - 6`

and passes through 6,-8.

Parallel lines have the same slope so our new line will also has-3 as it slope

wo using the slope intercept form let update our equation so far.

Slope intercept is

`y = mx + b`

where m is the slope and b is the y intercept

plug in -3 for the slope since our new equation must be parallel.

`y = - 3x + b`

Now plug 6 for x and -8 for y.

`- 8 = - 3(6) + b`

`- 8 = - 18 + b`

`b = 10`

Our equation is

`y = - 3x + 10`

Answer 2

Explanation:

f(x) = -3x-6

slope of line is -3

parallel lines have the same slope

point-slope equation for line of slope -3 that passes through (6,-8):

y+8 = -3(x-6)

put equation into slope-intercept form:

y = -3x + 10