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

The equation of the line would be y = -1/2x-3 when solved for y, this means the y-intercept is -3 and slope is -1/2

Step-by-step explanation:

hope this helped!

We have
preimage:  f(x)=[(1/2)(5^x)]
image:       g(x)=-[(1/2)(5^x)] - 3

We know that standard transformations for a function f(x) into g(x) can be done as follows:
g(x)=a*f(x-h)+k
where
a=scale factor for dilation, and a factor of -1 is a reflection about x-axis
h=horizontal shift to the right by h units.
k=vertical shift upwards by k units.

Comparing f(x) and g(x), we can see that
a=-1 (reflection about the x-axis)
h=0 (no horizontal shift)
k=-3 (vertical shift downwards by three units)

So the correct answer is "reflected across the x-axis and 3 units down"