"Which of the following..." always means "Here is a list of choices.
Pick the best choice from the list."
Until you share the list, nobody can do much with your question.
If you want to ask questions about the "following", then I suggest that you make sure that there is something that is following.
y - 2 = 4(x - 7)
6
5
x - y - 2 = 0-y = -x + 2y = x - 2The graph is a straight line. The slope of the line is [2].The line intersects the x-axis at [x=2], and the y-axis at [y=-2].
Y axis divided by x axis
y - 2 = 4(x - 7)
It is: y-5 = 2(x-1) => y = 2x+3
6
Imagine the set up: line 1 X line 2 X X line 3 X X X line 4 X X X X line 5 (empty) Move the pin from line 1 to the centre of line 5. line 1 (empty) line 2 X X line 3 X X X line 4 X X X X line 5 X Now move the 2 outer pins on line 4 to the outer position on line 2 line 1 (empty) line 2 X X X X line 3 X X X line 4 X X line 5 X And there you go. Except the spacings I used weren't saved. I hope you get the idea though!
parallel lines have the same slope. So if you equation if 5y+x=2 for example, you can solve for y and then look at the coefficient of x, that number is the slope. So in the example 5y+x=2, 5y=-x+2 or y=-1/5x+2/5 The slope is -1/5 so any line with that slope will be parallel. The 2/5 is the y intercept or the location where the line hits the y axis. This can be any real number.
5
x - y - 2 = 0-y = -x + 2y = x - 2The graph is a straight line. The slope of the line is [2].The line intersects the x-axis at [x=2], and the y-axis at [y=-2].
Y axis divided by x axis
-6
A vertical line that passes through -2 on the x-axis.
I understand this to mean x = 2. This is the vertical line passing through the (2, 0) or, alternatively, the vertical line passing through the point where x = 2 on the x-axis.
If you mean y-6 = -4(x+1) then it is a straight line equation equivalent to y = -4x+2 when completed whereas the slope is -4 and the y intercept is 2