Question

Which equation represents a line parallel to the line shown on the graph? On a coordinate plane, a line goes through (negative 6, 0) and (negative 8, 6). y = 3 x minus 7 y = negative 3 x + 3 y = one-third x + StartFraction 7 Over 9 EndFraction y = negative one-third x + 12

Answer 1

`\boxed{ \mathrm{y = \ negative \ 3 x + 3}}`

Explanation:

The coordinates are given (-6, 0) and (-8, 6)

Find slope of the line.

`m=(y_2-y_1)/(x_2-x_1)`

`m=(6-0)/(-8--6)`

`m=(6)/(-2)`

`m=-3`

Parralel lines have same slope.

y = mx + b

m = -3

Answer 2

`\boxed{ \mathrm{y = \ negative \ 3 x + 3}}`

Explanation:

The coordinates are (-6,0) and (-8,6)

Finding slope of the line

Slope =
`(rise)/(run) = (y2-y1)/(x2-x1)`

Slope =
`(6-0)/(-8+6)`

Slope =
`(6)/(-2)`

Slope = -3

Parallel lines have equal slopes.

So, the line which is parallel to this line is y = negative 3 x + 3