In the slope intercept method, it is very simple to find the y intercept and the slope. The slope is always accompanied with the x so in this problem, the slope is -6 meaning it has a negative correlation (it's pointing down on the graph) the y intercept is the other number on that side of the equals sign. It is 2 and is positive.
Step-by-step explanation:
commons core yeayeayea
Don't take my word completely, but my answer I believe is letter C. I just drew a graph and wrote it all down. I got C.
Answer
a) 2 x + 3 = 13 - 5 x
7 x = 13 -3
7 x = 10

b) 6 + 4 x = 10 x + 26
6 x = 20


c) 6 x + 9 = 13/5 - x


d) 0.6 + 0.4 x = x + 2.6
0.6 x = -2


e) 3(2x + 3) = 13/5 -x
6 x + 9 = 13/5 - x


f) 4 x = -10 x + 20
14 x = 20

g) 15(2x + 3) = 13 - 5x
30 x + 45 = 13 - 5 x
35 x = -32

h)15(2x + 3) + 97 = 110 - 5x
30 x + 45 + 97 = 110 - 5x
35 x = -32

so , the solution of part c, e, g, h is same which is 
the solution of part a, f is same which is