Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Write the equation of a line that is parallel to the given line.
1. y =- 4x


Sagot :

Answer:

Step-by-step explanation:

A line that is parallel will have the same slope as the reference line.  The slope-intercept form of a straight line equation is:

     y = mx + b,

where m is the slope and y is the y-intercept (the value of y when x=0),

The line y = -4x has a slope of -4 and a y-intercept of 0 (it crosses the y axis when x = 0).

That means any line with the form y = -4x + b will be parallel, since the slopes are both -4.  

All that is needed is to choose a value for b, the y-intercept, to be different than 0.  Pick any number - all resulting lines will be parallel.  I'll chose b = 2.

y = -4x + 2 is parallel to y = -4x

See attached image for these two lines, plus two more I added with different values of b.

View image rspill6
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.