Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

What is an equation of the line
that is perpendicular to the line
y=-x-1
and passes through
the point (-4, 2)?

Sagot :

rspill6

Answer:

Step-by-step explanation:

A line that is perpendicular to a reference line will have a slope that is the negative inverse of the reference line.

In this case, the reference line is y = -x - 1.  It has a slope of -1.  The negative inverse of this would be -(1/-1) = 1.

We can then write:

y = mx + b

y = 1x + b

To find b, enter the one given point that lines on the line, (-4,2).

y = 1x + b

y = 1x + b for (-4,2)

2 = 1(-4) + b

b = 6

The equation becomes y = x + 6

See attached.

View image rspill6
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.