Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

What is the equation of the horizontal line that contains the point (3,−8)?

Sagot :

absor201

Answer:

The equation of the horizontal line that contains the point (3,−8) will be:

  • y = -8

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

We need to determine the equation of the horizontal line that contains the point (3, −8).

We know that the slope of a horizontal line m = 0

Thus, in our case:

  • Slope m = 0
  • Point (3, -8)

now substituting m = 0 and the point (3, -8) in the slope-intercept form of the line equation to determine the y-intercept

y = mx+b

-8 = 0(3) + b

-8 = 0 + b

b = -8

Thus, the y-intercept b = -8

now substituting m = 0 and b = -8  in the slope-intercept form of the line equation

y = mx+b

y = 0(x) + (-8)

y = 0 - 8

y = -8

Therefore, the equation of the horizontal line that contains the point (3,−8) will be:

  • y = -8

Please also check the attached graph below.

View image absor201
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.