Question 224045
What is a line parallel to 4x-2y=d?
To solve this question, it is easiest to get the equation into y-intercept form. ({{{y=mx+b}}})
First move the 4x to the other side of the equation by subtracting it from both sides. This yields {{{-2y=-4x+d}}}.
Then divide both sides by -2 to get {{{y=2x-d/2}}}.
Since m is our slope which equals 2, any line that has a slope of 2 would be parallel to the line in question. Thus the {{{-d/2}}} is totally irrelevant to our solution.
Some examples would be {{{y=2x+4}}}, {{{y=2x-3}}}, {{{y=2x+300}}}. As long as {{{m=2}}} the last number, or b our y-intercept, can be any number.

What is a line perpendicular to the like y=7?
{{{y=7}}} is a horizontal line crossing the y-axis at 7. A perpendicular line would be any line that is vertical. Examples would be {{{x=20}}}, {{{x=1}}}, {{{x=5}}}. Any x= line is going to be vertical, and therefore perpendicular to a horizontal line, so x can equal any number.

What is the slope of the line x=1/2?
An x= line is vertical. The slope of any vertical line is always going to be undefined.

What is the slope of the line {{{y=(4x-13)/7}}}?
This equation is already in slope-intercept form, y=mx+b. Therefore we only bneed to determine what m, or our slope is. Since the entire equation is divided by 7, we can rewrite this as {{{y=(4/7)x-(13/7)}}}. From here we can see that the slope, which is equal to m, is {{{4/7}}}.