Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Find the equation of the line perpendicular to y = -4x + 3 that also interacts the point (8,1)

Sagot :

Answer:

The answer is "[tex]y = \frac{1}{4}(x-4)[/tex]".

Step-by-step explanation:

Given:

[tex]Line = y= -4x+3 \\ \\point= (8,1)[/tex]

The formula for the standard Equation of a line:

[tex]\to y= mx +c[/tex]

compare the above line value:

[tex]m= -4\\\\c= 3[/tex]

When a line is perpendicular so, the m value is: [tex]= \frac{1}{4}[/tex]

[tex]\to m_1 \times \m_2 = -1\\\\\to -4 \times m_2= -1\\\\\to m_2 = \frac{-1}{-4}\\\\\to m_2= \frac{1}{4}[/tex]

Line equation when one point and m is given:

[tex]\to (y-y_1) = m (x- x_1)\\\\\to (y-1) = \frac{1}{4}(x- 8)\\\\\to 4y-4 = x- 8\\\\\to 4y = x-8+4\\\\\to 4y = x-4\\\\\to y = \frac{1}{4}(x-4)\\[/tex]

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.