Question

How do you find the slope of a line parallel to the graph of `y - 4 = 6`?

Answer 1

`color(Red)(Note`: Please verify the Question. It may be `y - 4x = 6` or `y - 4 = 6x`*

Assuming your question is correct, here is the Solution:

2 parallel lines have the SAME slope/inclination

To get the Slope of `y - 4 = 6`, we simply write it using the Slope Intercept Form

The Slope Intercept form of the equation is written as `y = mx + c`
where `m` is the Slope and `c` is the Y intercept

`y - 4 = 6`

`y = 6 + 4`

`y = 10`

`y = 0*x + 10`

The Slope of the line with the equation `y - 4 = 6` is zero. Hence the Slope of the line parallel to this one will also be `color(green)(zero`.