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How many times does 1 cross the x-axis?
y=1 does not cross the x-axis. It is a line parallel to the x-axis (and therefore can't ever cross it)
Why is the slopes of product x and y axis is -1?
It is not, because the slope of the y-axis is not defined.
Why not every line has both an x- and a y- intercept?
Some lines does not touch the x-axis or y-axis. For example, when the equation of line is y=1, the line never touches the y-axis [coordinates on the line would be (_,1)]. Equations such as y=1/x will not touch both axis.
What is the product of the slopes when the x axis and y axis are perpendicular?
The slope of the x-axis is 0 and the y-axis does not have a slope. For all pairs of perpendicular lines, other than those parallel to the axes, the product of their slopes is -1.
What is the equation for the ellipse if the ellipse is centered at the origin and the length of its horizontal axis is 4 and lengeth of the vertical axis is 8?
Ellipse formula, centered at the origin, where the vertical axis is the major axis: x2/b2 + y2/a2 = 1, a > b Since the major axis is 8, then a = 4. Since the minor axis is 4, then b = 2. Thus, the equation of the ellipse is: x2/4 + y2/16 = 1.
