Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

What is the point-slope equation of a line if the slope is 3 and it passes through the point (-9, 2

Sagot :

Ashraf82

Answer:

The point-slope equation of the line is y - 2 = 3(x + 9)

Step-by-step explanation:

The form of the point-slope equation is y - y1 = m(x - x1), where

  • m is the slope of the line
  • (x1, y1) is a point on the line

∵ The slope of a line is 3

∴ m = 3

∵ The line passes through point (-9, 2)

∵ x1 = -9

∴ y1 = 2

→ Substitute the values of m, x1, and y1 in the point-slope form

∵ y - y1 = m(x - x1)

∴ y - 2 = 3(x - (-9))

→ Remember (-)(-) = (+)

∴ y - 2 = 3(x + 9)

∴ The point-slope equation of the line is y - 2 = 3(x + 9)

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.