Question

3x-7y=14

What is the slope of the line given by the linear equation above?

A. 3/7
B. -3/7
C. 7/3
D -7/3

Answer 1

A.
`(3)/(7)`

Explanation:

The given equation is

`3x-7y=14`

We solve for y by subtracting 3x from both sides to obtain;

`-7y=14-3x`

We now divide through by -7 to get;

`y=(-3)/(-7)x+(14)/(-7)`

This simplifies to;

`y=(3)/(7)x-2`

This equation is now in the form y=mx +c, where
`m=(3)/(7)` is the slope.