and how many points are needed to determine a line? (graph)
2007-11-07 15:23:15 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Part 1
A line with no x-intercept must be parallel to the x axis, and its y intercept cannot be zero.
If it is not parallel to the x axis then it has 1 x-intercept.
If it is parallel to the x axis and it's y-intercept is zero, then the line IS the x axis... and "intersects" it at every point.
Part 2
In any geometry you'll encounter for a while, a straight line is determined by two points. You can use as many as you want, but you only NEED two.
2007-11-07 15:34:02 · answer #1 · answered by gugliamo00 7 · 0⤊ 0⤋
Any line that never crosses the X-axis has no x-intercept so that would be any line parallel to the x-axis. This family of lines have a slope of zero and have a general equation of
Y = b where b is the Y-intercept.
Two points are needed to determine a straight line, but in graphing we usually use 3 points as a check,
2007-11-07 23:30:36 · answer #2 · answered by piman 6 · 0⤊ 0⤋
A line that has no x-intercept is a horizontal line with the exception of the x-axis (y=0).
An infinite number of lines may be drawn through ONE point. To draw a UNIQUE line, there must be a minimum of two points.
2007-11-07 23:28:50 · answer #3 · answered by imalava 2 · 0⤊ 0⤋
y = 5 will do nicely. In fact y = a, a .ne. 0 will work.
All these lines are parallel to the x-axis.
Two distinct points determine a unique line.
2007-11-07 23:28:21 · answer #4 · answered by steiner1745 7 · 0⤊ 0⤋
example: y=3x + 5. First make 3x a fraction by putting a 1 as the denominator then that will be the slope and positive 5 is the y-intercept. . .i think that is what you mean
2007-11-07 23:35:41 · answer #5 · answered by iK3ViN 2 · 0⤊ 0⤋
y=3
2
2007-11-07 23:26:23 · answer #6 · answered by robert 6 · 0⤊ 0⤋