2007-11-25 05:30:42 · 3 answers · asked by nflrunes 2 in Science & Mathematics ➔ Mathematics
- 2x = 4 + y
y = - 2x - 4
Slope = - 2
2007-11-25 05:39:22 · answer #1 · answered by Como 7 · 3⤊ 1⤋
First solve for y to get y = -2x -4
Slope = (y2-y1)/(x2-x1) or rise/run. Let's find two points on
the line by letting x = 0, then x = 1. Calculating y gives the points
(0, -4) and (1, -6) so slope is m = [-6 - (-4)]/(1-0) = -2
So the slope is -2. But notice that when solved for y the coefficient of x is also -2. So when you solve for y you can read the slope of the coefficient of x.
This can be proven in general, but it makes common sense. When you change the value of x by 1, the change gets multiplied by the -2 so y increases by -2 times as much, the slope.
2007-11-25 13:39:15 · answer #2 · answered by baja_tom 4 · 1⤊ 1⤋
in the form y=mx+b, m represents slope. One way you can tackle this problem is by solving it for y.
If -2x-y=4
Then -y=2x+4
We want y to be positive
So, y=-2x-4
and now we have this in the y=mx+b form, and m is -2, so your slope is -2.
2007-11-25 13:34:39 · answer #3 · answered by Bollywood Masti 4 · 2⤊ 1⤋