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