<u>ANSWER</u>
We need to rewrite , in slope intercept form.
,
The given equation has a slope of .
<u>ANSWER TO QUESTION 1</u>
We now the write given options also in slope intercept form.
For the first one, we have
This first equation also has a slope of .
Hence is parallel to .
<u>ANSWER TO QUESTION 2:</u>
The second equation is;
.
We need to write this one too in slope intercept form.
This second equation has a slope of 2
Since , the line
is perpendicular to .
<u>ANSWER TO QUESTION 3</u>
We rewrite the equation in slope intercept form.
This equation also has a slope of is not equal to the slope of , and the product of these two slopes , the two lines are neither parallel nor perpendicular.
<u>QUESTION 4</u>
The given line has equation . We rewrite this equation in the slope intercept form.
This line has a slope of .
Since this slope is the same as the slope of the given line,
is parallel to .
See graph in attachment.