0.15 as a decimal, and 3/20 as a fraction
Let's use the point-slope formula here:
y - 5 = -2(x - 3). That's it. You could, of course, rewrite this in slope-intercept form, as follows:
y = 5 - 2x + 6, or y = -2x + 11, in slope-intercept form.
It's the first choice above. The center of the circle of the first choice is (-2, 6). In order to get from there to the center, you have to go right 2 and down 6, which are your given translations. None of the other translations bring the given centers to the origin. For example, the center of the second circle is (1, -2). In order to get from there to the center you have to go left 1 and up 2, but the translations they give are left 2 and DOWN 2, which is incorrect if you want to get to the origin. The only correct one is the first one.
This is the answer sorry about the fig.
This is an aritmetic series;
a=-10
d=-7--10
d=3
n= 7
Sum=

(2a+(n-1)d)
Sum=

sum=3.5(-20+18)
sum=3.5(-2)
sum=-7