Through (8,-8) and parallel to x=2

Question

a. X=-8

b. Y=-8

c. X=8

d. Y= -4/3x + 8/3

Answer 1

The slope of the line x=2 is infinite or undefined.  It is a vertical line. The formula may not be written in slope-intercept form:  y=mx+b.  it may, however, be written in Standard Form, Ax+By=C, with A=1, B=0, C=2.

 

The line goes through the point (8,-8), so x=8; x always = 8, for every value of y.  That means that for the line x=8, y is not a function of x.

Answer 2

The given line is vertical, specifically a vertical line at x=2.

So the parallel line must also be vertical.

 

This eliminates option D and option B.

 

For vertical lines, the x-coordinates are all the same.

IT must pass through (8,-8) where x=8

 

The answer is option C