Answered

IDNLearn.com: Your trusted platform for finding precise and reliable answers. Ask your questions and receive reliable, detailed answers from our dedicated community of experts.

What is the equation of the line that goes through (2, 2) and isperpendicular to y = 5x + 3?A. y-2=-1/5(x-2)B. y=-1/5(x+2)C. y-2 =5(x - 2)D. y-2=1/5(x-2)

Sagot :

ANSWER:

A.

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

STEP-BY-STEP EXPLANATION:

When two lines are perpendicular, the product of their slopes is equal to -1, therefore

[tex]\begin{gathered} m_1\cdot m_2=-1 \\ 5\cdot m_2=-1 \\ m_2=-\frac{1}{5} \end{gathered}[/tex]

We have that the equation in its slope and point form is the following:

[tex]y-y_1=m\cdot(x-x_1)[/tex]

We replace the values of the point and the slope and we would have the following equation

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

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.