<PRE><B>Question 359493</B>
To find the slope of the lines, just solve for y and get them in the form {{{y=mx+b}}} where m is the slope of the line, and b is the y-intercept. &lt;br&gt;

For the first line, if we solve for y we get {{{y=x+9}}} as given&lt;br&gt;

The slope of this line is 1, and the y-intercept is 9&lt;br&gt;

For the second line, if we solve for y we get {{{y=x-5}}}&lt;br&gt;

The slope of this line is also 1, and the y-intercept is 5&lt;br&gt;

When 2 lines have the same slope, but have different y-intercepts, they are by definition, parallel lines!&lt;br&gt;

The two lines have the same slope, but different y-intercepts, thus they are parallel!&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>