What is the slope of a line that is parallel to the line whose equation is 0.5x−5y=9 0.5 x − 5 y = 9?

First we need to find the slope of the given line. And for that we need to bring the equation in y=mx +b form where m is the slope. And for that, we need to solve the given equation for y.

0.5x-5y=9

Moving 9 to the left side

0.5x-5y-9=0

Moving 5y to the right side

0.5x -9 = 5y

Getting rid of 5 by dividing both sides by 5, that is

0.1x -(9/5)=y

or y=0.1x -(9/5)

Therefore slope of the given line is 0.1 and parallel lines have same slopes. Therefore slope of the parallel line is 0.1 too .

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,