2007-08-13 02:09:26 · 11 answers · asked by just confused :) 1 in Science & Mathematics ➔ Mathematics
A line with zero slope is horizontal. The only horizontal line that goes through the y-axis at 0 is the x-axis itself. So your line lies along the x axis. The equation of such a line is y = 0, where x can be any number. Three points you could use to graph this line could be (-2 , 0), (0 , 0) and (3 , 0).
2007-08-13 02:18:14 · answer #1 · answered by Don E Knows 6 · 0⤊ 0⤋
This question doesn't really make sense in the way you phrased it. If you mean when as in which lines with 0-slopes will have y-intercepts at x=0, they all will. But if you mean when will a line with 0-slope have an intercept at (0,0), only the line y=0 has this property.
2007-08-13 02:14:09 · answer #2 · answered by Jon G 4 · 0⤊ 0⤋
The line equation with slope & y-intercept is expressed as
y = m* x + c ............................... (1)
where, m represents the slope of the line & c represents the y-intercept.
So when slope is zero, the equation (1) becomes,
y = c ................................(2)
The above equation basically represents the line parallel to x-axis.
Since the intercept is zero, the line is x-axis itself, as it intersects the y-axis at zero, otherwise stated as origin. Hence the line is x-axis.
2007-08-13 02:20:00 · answer #3 · answered by Prem P 1 · 0⤊ 0⤋
It doesn't, necessarily. For example, the line y=3 is a straight line with zero slope that passes through the y-intercept at 3, not 0.
2007-08-13 02:14:33 · answer #4 · answered by Adam 5 · 0⤊ 3⤋
line with a zero slope have the equation y = c. Hence a line passing thro the origin will have a zero intercept.
2007-08-13 02:13:34 · answer #5 · answered by yashtapmi 2 · 1⤊ 1⤋
A stright line with zero slope will have equation
y = c
and is a horizontal line with y-intercept c.
2007-08-13 02:17:35 · answer #6 · answered by vlee1225 6 · 0⤊ 0⤋
well the line of slope is 0 so its a horizontal line parallel to x axis
and its y intercept is 0 so its a line on the x axis where is cuts the y axis on (0,0)answer is X-axis
y=mx+c (m=0)
y=0(c is y intercept)
which is a line =x axis!!!or / / to x axis
2007-08-13 02:20:28 · answer #7 · answered by Anonymous · 0⤊ 1⤋
at x=0
2007-08-13 02:15:24 · answer #8 · answered by Anonymous · 0⤊ 3⤋
This describes the x-axis basically.
The equation of the line is y = 0 and is defined for all values of x.
2007-08-13 02:14:21 · answer #9 · answered by gebobs 6 · 1⤊ 0⤋
it is the x axis
2007-08-13 02:16:09 · answer #10 · answered by renjuk4d 1 · 1⤊ 0⤋