Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

8. Write the equation of the line that is parallel to the line 2x + 5y = 15 and passes through the
point (-10, 1).

Sagot :

fieryanswererft

Answer:

[tex]\sf y = \bold -\frac{2}{5} x -3[/tex]

Explanation:

part A identification for slope:

[tex]\sf 2x + 5y = 15[/tex]

[tex]\sf 5y = -2x + 15[/tex]

[tex]\sf y = \frac{-2x + 15}{5}[/tex]

[tex]\sf y = -\frac{2 }{5} x+3[/tex]

comparing with slope intercept form: y = mx + b

we can find that here the slope is [tex]\bold -\frac{2}{5}[/tex]

part B, solving the equation:

if the line is parallel, then the slope will be same.

given coordinates: ( - 10, 1 )

using the equation:

y - y₁ = m( x - x₁ )

[tex]\sf y - 1 = \bold -\frac{2}{5} (x --10)[/tex]

[tex]\sf y = \bold -\frac{2}{5} x -4 + 1[/tex]

[tex]\sf y = \bold -\frac{2}{5} x -3[/tex]

Extra information:

check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.

View image fieryanswererft

Solution:

Step-1: Convert the line into slope intercept form.

  • 2x + 5y = 15
  • => 5y = -2x + 15
  • => y = -0.4x + 3

Step-2: Use the point slope form formula.

  • y - y₁ = m(x - x₁)
  • => y - 1 = -0.4{x - (-10)}
  • => y - 1 = -0.4{x + 10}
  • => y - 1 = -0.4x - 4
  • => y = -0.4x - 3
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.