Slopes 7th grade math

Question

Consider the line -7x - 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

First we put the given equation in slope-intercept form:

-7x - 3y = 4

-3y = 4 +7x

-3y = 7x + 4

y = -(7/3)x + (-(4/3))

y = -(7/3)x -(4/3)

The slope of the given line is: -7/3

So,

The Slope of a parallel line is: -7/3. Parallel lines have the same slope

The Slope of a perpendicular line is: 3/7. Perpendicular lines have opposite reciprocal slopes.