57.4k views
0 votes
What is the slope of a line perpendicular to the line whose equation is
4x — 6y = –24.

1 Answer

3 votes

Final answer:

The slope of the line perpendicular to 4x - 6y = -24 is -3/2.

Step-by-step explanation:

The equation of the given line is 4x - 6y = -24. To find the slope of a line perpendicular to this line, we need to find the slope of the given line first. We can rearrange the equation into the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

4x - 6y = -24

-6y = -4x - 24

y = (4/6)x + 4

So, the slope of the given line is 4/6 or 2/3.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line. So, the slope of the line perpendicular to 4/6 is -3/2.

User LEMUEL  ADANE
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories