Question

Which equation represents a line which is parallel to the line y = -=2 - 4?

Answer 1

4x + 7y = -14

Step-by-step explanation

Two lines are parallel if they have the same slope. The slope of the given line is -4/7. The other lines are given in the standard form,

`ax+by=c`

The slope when the equation is in this form is,

`m=-(a)/(b)`

We have to find the equation that has the same slope as the given line.

• The slope of the first equation 7x + 4y = 32 is -7/4.

,

• The slope of the second equation 7x-4y = -12 is 7/4

,

• The slope of the third equation 7y - 4x = 7 is 4/7

,

• The slope of the fourth equation 4x + 7y = -14 is ,-4/7

Hence, the line that is parallel to the given line is 4x + 7y = -14