blfigueroa08
Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

write an equation that passes through (-2, - 11) and is perpendicular to x + 4y=8​

Sagot :

itsandypandy

Answer:

y = 4x - 3

Step-by-step explanation:

Firstly rearrange into the form y = mx + c;

⇒ [tex]y = -\frac{1}{4}x + 2[/tex]

Secondly, find the gradient of the line using the formula for perpendicular lines;

⇒ [tex]m_{1}m_{2} = -1[/tex]

⇒ [tex]-\frac{1}{4}m_{2} = -1[/tex]

⇒ [tex]m_{2} = 4[/tex]

Now substitute into the formula for a straight line;

⇒ [tex]y - y_{1} = m(x - x_{1})[/tex]

⇒ [tex]y + 11 = 4(x + 2)[/tex]

⇒ [tex]y = 4x - 3[/tex]

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.