could someone show me how to solve this problem step by step.?

Question

12y=-8x-16

its a slope. so i'm trying to find the slope and y-intercept.

Answer 1

There might be some additional directions above that problem, such as Graph the Solution, Solve for y in terms of x, or place in slope-intercept form (or maybe something else).

I'll show how to do each of those.

First, let's solve for y in terms of x:

12y = 8x - 16

Divide each term by 12:

y = (2/3)x - 4/3

That's solved for y in terms of x, and it's also in slope-intercept form. If you want to graph it, you start with the intercept, and plot a point at (0, -4/3). Then you can plot another point using the slope. Since the slope (2/3) is rise over run, you can plot the point that has gone UP 2 units and to the RIGHT 3 units, which is (3, 2/3). Then you can take your ruler, line the two points up, and draw the line that passes through both of them.

That's how to graph it. The graph should look like this: http://allyoucanupload.webshots.com/v/2003452140446790977

**** Edit: OK, so you need the slope and y-intercept. When you have rearranged the equation into y = (2/3)x -4/3, then you have them. The slope is the coefficient of x (2/3), and the intercept is the part after x (-4/3). Or to be precise, the intercept is the point (0, -4/3). Look at my graph to see it: http://allyoucanupload.webshots.com/v/2003452140446790977

I hope I helped.

Answer 2

Are you solving for y or x?
12y = -8x - 16
divide both sides by 12
y = -(2/3)x - (4/3)

or

12y = -8x - 16
add 16 to both sides
12y + 16 = -8x
divide both sides by -8
-(3/2)y - 2 = x
x = (-3/2)y - 2

Answer 3

12y = -8x -16, divide both sides by 12
y = -2/3 x - 1-1/3, thats one and one third
y intercept, x = 0, so
y(0) = -2/3 (0) - 1-1/3
y(0) = - 1-1/3, minus one and one third
slope = -2/3, from -2/3 x

Answer 4

12y=-8x-16
Divide both sides by 12 getting:
y= -8x/12 -16/12
Reduce the fractions to simplest form getting:
y = -2x/3 -4/3
Factor out -1/3 getting:
y = -1/3(2x+4)
If you want this in standard form then mutiply by 3 getting:
3y = -2x -4
Move everything to LHS getting:
2x+3y +4=0

Answer 5

first simplify by dividing both sides by four

3y=-2x-4

isolate y by dividing both sides by 3

y = (-2x-4)/3

plot this to find answers