Find the slope and the y-intercept of he line with the equation 2y+x=-6

The slope is -1/2 and  the y intercept is -3

Step-by-step explanation:

To find the slope and the y intercept, we need to get it in the form

y= mx+b  where m is the slope and b is the y intercept

Solve for y

2y+x = -6

Subtract x from each side

2y+x-x = -x-6

2y =-x-6

Divide by 2

2y/2 = -1/2x -6/2

y = -1/2x -3

The slope is -1/2 and  the y intercept is -3

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.