A line that followed y = 0 would be exactly the same as the line of the x axis.
Cuts through the y axis at: (0, -12) Cuts through the x axis at: (-3, 0) and (4, 0)
When x = 0, the point that has (0, y) coordinates will be on the y-axis for any y.
rearrange: y = 3x - 3, which crosses the x-axis when y = 0, ie when x = 1
Yes, x = -3 would represent a vertical line at abscissa -3, parallel to the y-axis.
A line that followed y = 0 would be exactly the same as the line of the x axis.
Cuts through the y axis at: (0, -12) Cuts through the x axis at: (-3, 0) and (4, 0)
y=-2.5 is parallel to the x axis. The equation of the x axis is y=0
When x = 0, the point that has (0, y) coordinates will be on the y-axis for any y.
rearrange: y = 3x - 3, which crosses the x-axis when y = 0, ie when x = 1
The only time x-1 over x-3 can be 0 is if the numerator, x-1 is 0 ie if x = 1. The question does not specify which axis.
Yes, x = -3 would represent a vertical line at abscissa -3, parallel to the y-axis.
X-Axis is manipulated variable. Y-Axis is responding variable
This is the equation of a straight line y = 0*x + 0. It has slope of zero, and intersects the y-axis at the origin. It runs coincident with the x-axis.
Where the line cuts the x axis, y=0 so -2x-12=0 or x = -6 ie the x-intercept is (-6,0). Where the line cuts the y-axis, x=0 so 3y-12=0 or y = 4 ie the y-intercept is (0,4).
This line hits the x axis (y=0) when 4x + 0 = 4 (so x=1) and the y axis (x=0) at 0 + 2y = 4 (so y=2).
y2 = 32x y = ±√32x the vertex is (0, 0) and the axis of symmetry is x-axis or y = 0