What is the slope of any line parallel to the line 9x + 4y=7?

Solution:

The slope-intercept form is given by

y = mx + b

Where m is the slope of the line

As we know that parallel lines have same slope.

Therefore, slope of any line parallel to the line 9x + 4y = 7 will remain same. 

Hence, calculating the slope for the given line 9x + 4y = 7.

It is given that

9x + 4y = 7

It can be written as

4y = -9x + 7

Divide both sides by 4

y = (-9/4)x + 7/4

Comparing it with the standard form of straight line, we get

m = -9/4

Therefore, the slope of any line parallel to the line 9x + 4y = 7 is -9/4.

---

What is the slope of any line parallel to the line 9x+4y=7?

Summary:

The slope of any line parallel to the line 9x + 4y = 7 is -9/4.