-5
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I assume you mean 2X2 - 7 = y ( y = 2x - 7 is not a parabola, it is a live and has no vertex )
Y = 2X2 - 7
This can just be read as it is nicely oriented around the Y axis and has no linear term.
(0, - 7)
=======vertex
y = 2x-5 4x-y = 7 => y = 4x-7 2x-5 = 4x-7 2x-4x = 5-7 -2x = -2 x = 1 Therefore by substituting: x = 1 and y = -3
y = 2x -1 y = 5x -13 So: 5x -13 = 2x -1 5x -2x = 13 -1 3x = 12 x = 4 and by substituting y = 7
x + 2y = 7 2y = -x + 7 y = -(x-7)/2 => -x/2 + 7/2 2x - y = 7 -y = -2x + 7 y = 2x + 7 Since -1/2 is the negative reciporical of 2, the slopes of these equations are perpendicular. Therefore, these two lines are perpendicular.
(1, -1)
Because the slope of these lines are the same, they are parallel. One crosses the y-axis at 7 and the other at -7. When written in this manner the number in front of the x is the slope.