find the slope: -2x-8y=17?

Answer 1

You have to get the equation in the form y = mx +c to get the "y-intercept and slope".
-8y = 2x +17
-8/8y = 2x/8 +17/8
-y = 1/4x+17/8
Slope,m = 1/4
y-intercept = 17/8...

Answer 2

You have to get the equation in the form y = mx + b to get the "slope-intercept" form first.

-2x - 8y = 17
-8y = 2x + 17
-8y / -8 = 2x / -8 + 17 / -8
y = - 2/8x + 17/ -8
y = -1/4x - 2.125

The slope is -1/4. This means that for every 4 units x increases, y decreases 1 unit (since the 1 is negative). Over 4, and down 1 on a graph to plot points.

Answer 3

The slope-intercept form for the equation of a line is y = mx + b where "m" is the slope of the line and "b" is the y-intercept of the graph of the line. Solve the equation for y to find the slope.
-2x - 8y = 17

-2x + 2x - 8y = 2x + 17

-8y = 2x + 17

(-8y)/(-8) = (2x)/(-8) + 17/(-8)

y = (-1/4)x + (-17/8)

So, the slope of the line is m = -1/4.

Answer 4

m (slope) = -(1/4)

In order to find a slope, you must have the equation in standard form, y=mx+b, where m is the slope. To make this equation into standard form, we must isolate y. Begin by adding 2x to both sides to get
-8y = 2x + 17
Now you must divide both sides by -8 to fully isolate y.
Now you have
y = -(2x/8) - (17/8)
This reduces to
y = -(1/4)x - (17/8)
Since in standard form the slope is the number multiplied by x, it is
-(1/4)

Answer 5

The slope is - 1/4.

Here's how to show this. Rewrite the equation in "standard form":

y = -1/4 x - 17/8.

So the slope (the coefficient ' m ' in y = mx + b) is - 1/4.

Live long and prosper.

Answer 6

-2x-8y=17
-2x-17=8y

y=-2/8 x-17/8

y=-1/4 x-17/8

slope=-1/4

Answer 7

-2x-8y=17
-8y= 2x+17
y = -(1/4)x - 17/8

So the slope is -1/4