Question

Which equation represents a line which parallel to the line y= -4/7x- 4

Answer 1

4x + 7y = -14

Explanation:

Parallel lines have same slope.

Write each equation on y = mx + b form.

4x + 7y = -14

7y = -4x - 14

Divide the entire equation by (7)

`\sf (7)/(7)y=(-4)/(7)x -(14)/(7)\\\\y = (-4)/(7)x-2`

So, the line 4x + 7y = -14 has same slope as the mentioned equation.

4x + 7y = -14 is parallel to the given line.

Answer 2

The given equation is

y = - 4x/7 - 4

The slope intercept equation is expressed as

y = mx + c

m represents slope

By comparing both equations,

slope = - 4/7

If two equations are parallel, it means that they have the same slope. Looking at the given options, for the last option,

4x + 7y = - 14

7y = - 14 - 4x

7y =