can someone tell me where my points should be on my graph
2006-07-19 13:32:35 · 16 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Straight horizontal line at y=2.....0 slope since there is no "rise"
2006-07-19 13:36:05 · answer #1 · answered by Mac 6 · 0⤊ 0⤋
y = 2 is a horizontal line.
It goes through the points (0,2), (1,2), (100,2), (whatever,2).
Horizontal lines all have a slope = 0.
Mathematically, to show this is so, think of slope as Îy / Îx.
The change in y is zero for any points you pick. In this example, all points have a y-value of 2, and between any two points, 2 - 2 = 0.
A vertical line, on the other hand, has no slope. A vertical line has no change in x, meaning Îx = 0. In the slope formula, this would be a division by zero, which is definitely a mathematical no-no!
2006-07-19 20:45:35 · answer #2 · answered by Louise 5 · 0⤊ 0⤋
The slope of a line is m in the equation y=mx+b. If you write y=2 in slope intercept form, rather than simplified form, it's y=0x+2. The reason is because a line has two dimension, x and y. The only way to make x "disappear" from slope intercept form is make m (the slope) = 0.
2006-07-19 20:41:44 · answer #3 · answered by Muffie 5 · 0⤊ 0⤋
The general equation of a line is,
y = mx + c
where m is the gradient (slope)
Since you are given a line with y = 2 for all values of x,
By comparison,
y = 2
y = mx + 2
The only way possible for this is when m = 0,
y = (0)x + 2
Therefore, the slope is equals to 0.
2006-07-19 20:42:22 · answer #4 · answered by ideaquest 7 · 0⤊ 0⤋
The standard equaton of the slope form is y = mx + c
In this case the equation is y = 2 or y = 0(x) + 2
Hence the slope of the given line is 0.
2006-07-19 23:52:46 · answer #5 · answered by Subhash G 2 · 0⤊ 0⤋
View "y = 2" as the form y = mx + b
y = 0*x + 2
m = 0, so slope is zero.
Find the point (0, 2) on the y-axis and draw a horizontal line parallel to the x-axis.
2006-07-19 23:00:15 · answer #6 · answered by Anonymous · 0⤊ 0⤋
the slope = 0
it is in the form y = mx + b
where m = the slope
since m = 0, the slope = 0
also, the all the points form a horizontal line two units up from the x-axis (wherever y = 2)
2006-07-19 20:38:21 · answer #7 · answered by Anonymous · 0⤊ 0⤋
Pick two x-values, say x=0 and x=1. The points on the line at these x-values are (0,2) and (1,2) respectively. Now, we recall that slope is RISE/RUN so we get:
Slope = (2 - 2) / (1 - 0) = 0/1 = 0.
Therefore, the slope is zero.
2006-07-19 20:38:25 · answer #8 · answered by Aaron 3 · 0⤊ 0⤋
well, there's an easy way to think about this. y=2 is actually y=2+0x. What happens when you plug in 3 for x? or 7? or -2? you always get y=2 for all x. So, slope is 0.
2006-07-19 20:37:16 · answer #9 · answered by DakkonA 3 · 0⤊ 0⤋
The slope is the "y-step" divided by the "x-step"
This is a Horizontal line.
There is no change in vertical height no matter what x is.
Slope is Zero
2006-07-19 20:40:05 · answer #10 · answered by Orinoco 7 · 0⤊ 0⤋