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

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.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this