Question

9x-4y=7
What is the slope of the line perpendicular to this line
What is the slope of a line parallel to this line

Answer 1

well if you change it to standard form, you get y=9/4x+7/4. The important part of that is 9/4x. If a line is perpendicular, the slopes are opposite. The slope of a perpendicular line would be -4/9x, don't forget the negative. And a parallel line has the same slope so any line with 9/4 is parallel but if the line has the same b value it is coinciding, not parallel and those aren't the same.

Answer 2

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 the same slope.

Therefore, the slope of any line parallel to the line 9x + 4y = 7 will remain the 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 the 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 meant by the slope of a line?

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

Learn more about slopes here: https://brainly.com/question/3493733

#SPJ2