If g(x) is a linear function such that g(-3)=2 and g(10= -4, find g(7)

g(7) = -34/13

Step-by-step explanation:

In order to find g(7), we first need to find the g(x) function. To do so, use the two ordered pairs given, (-3, 2) and (10, -4). First we find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (2 - -4)/(-3 - 10)

m = 6/-13

Now that we have the slope, we can use that and either ordered pair in point-slope form to get the equation of the function.

y - y1 = m(x - x1)

y - 2 = 6/13(x + 3)

y - 2 = -6/13x - 18/13

y = -6/13x + 8/13

g(x) = 6/13x + 8/13

Now that we have this, we can plug in 7 for x and find g(7).

g(x) = -6/13x + 8/13

g(7) = -6/13(7) + 8/13

g(7) = -42/13 + 8/13

g(7) = -34/13

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

42.4

step-by-step explanation:

convert to decimal