A line can be expressed in the form y = mx + b where m is the slope and b is the y-intercept. For y = 4x - 7, the slope is 4 and the y-intercept is -7. This line rises 4 units for every increase in x.

It is not possible to say that a line is perpendicular or parallel unless a reference line is provided. If the slope of a line is 0 or infinity, it could be said that the line is horizontal or vertical.

**The slope of the line y = 4x - 7 is 4, nothing further can be said.**

To answer this question, you must have a second equation. If the equation given is the first equation, then the second equation will have:

"y=4x + some constant " These two lines are **parallel.**

"y= -1/4 x + some constant" These two lines would be **perpendicular**.

The slope is the number next to x. Lines with the same slope (or, same number next to x) are parallel.

Lines that are perpendicular have negative reciprocal slopes. hence, 4 and -1/4.

I hope this helps. Best of luck.