Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

A line has the equation y= 1/3x-5 find the equation of a parallel line passing through (3,2)

Sagot :

rspill6

Answer:

y = (1/3)x + 1

Step-by-step explanation:

A parallel line has the same slope as the reference line.  This means the new equation would have a slope of (1/3).  The y-intercept, -5, needs to be different.  But since the line needs to pass through point (3,2), we need a value of b that will cause that to happen.

We can start with y = (1/3)x + b.  As long as b is not -5, the line will be different and parallel.  To force it through point (3,2), just enter those values and solve for b:

y = (1/3)x + b

2= (1/3)*3 + b

2 = 1 + b

b = 1

The equation becomes y = (1/3)x + 1.

See attached image.

View image rspill6
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.