Question

Consider the line =−8x6y−4.

Answer 1

Answer:

The slope of the line perpendicular to 8x - 6y = -4 = -3/4

All lines parallel to y = 4x/ 3 - 2/3 have thesame slope of 4/3

Step-by-step explanation:

To find the slope of a line Parallel or perpendicular to another, we should bear in mind that:

When two lines are parallel, they have an equal slope.

Also, when two lines are perpendicular, they have opposite signs and they are reciprocals of each other.

From the question:

8x - 6y = -4

Let's rearrange the equation to have in the form of:

y = mx + c.

Where m= slope

C = intercept.

Therefore, for PERPENDICULAR

6y = 8x - 4.

y = 8x/6 - 4/6

y = 4x/3 - 2/3

SLOPE = 4/3

To get tge slope perpendicular to the line y = 4x/3 - 2/3;

Lets get the reciprocal and the opposite sign.

Slope = 4/3

Perpendicular slope = - 1/ m

= -3/4

Therefore, the slope of the line perpendicular to = -3/4

PARALLEL:

6y = 8x - 4.

y = 8x/ 6 - 4/6

y = 4x/ 3 - 2/3

SLOPE = 4/3.

Therefore, all lines parallel to y = 4x/ 3 - 2/3 have thesame slope of 4/3