ashantymariexo
Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Given the equation of a line y = 5x -16, what is the slope of a line PERPENDICULAR to this line?​

Sagot :

cosmickid287

Answer:

[tex]-\frac{1}{5}[/tex]

Step-by-step explanation:

Notice that the equation y = 5x - 16 is in slope-intercept form, or [tex]y = mx + b[/tex] format. Whenever an equation is in slope-intercept form, the number in place of the [tex]m[/tex], or the coefficient of the x-term, represents the slope of that line. So, the slope of the given line is 5.

Slopes that are perpendicular to each other are opposite reciprocals. So, we need to find the opposite reciprocal of 5. To do that, write it as a fraction, making it [tex]\frac{5}{1}[/tex]. Then, switch the sign and flip the numerator and denominator. This means that the opposite reciprocal of 5 is [tex]-\frac{1}{5}[/tex], so [tex]-\frac{1}{5}[/tex] is the perpendicular slope.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.