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

Consider the line7X-6Y=-5

Step-by-step explanation:

calculate the slope of given line:

7X-6Y=-5

6y = 7x+5

y=7/6 x + 5/6

the slope is : 7/6

the slope of a line parallel to this lineis 7/6 (same slope)

the slope of a line perpendicular to this line is : a when : a * 7/6 = - 1

so : a = - 6/7

See below in bold.

Step-by-step explanation:

Convert the equation into slope-intercept form:

7x - 6y = - 5

6y = 7x + 5

y = (7/6) x + 5/6

- so the slope is 7/6.

The slope of a line parallel to this has the same slope 7/6.

The slope of a line perpendicular to this has a slope of - 1 / 7/6

= - 6/7.