Question

Please help,

Consider the line 5x - 3y = -4.

What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

Answer 1

5x - 3y = -4

-3y = -5x - 4

3y = 5x + 4

Y = (5/3)x + (4/3)

The slope of the line is (5/3).

(Its y-intercept is 4/3 but we don't need that.)

Any line parallel to it has same slope. (5/3)

Any line perpendicular to it has slope that is the negative reciprocal of 5/3. (-3/5)