Find the value of k given that both points lie on a line passing through the origin. (k,−24) and (5,40)

PLEASE HELP ASAP if you do thank u and have a blessed day

Step-by-step explanation:

Since the line passes through the origin, it must be a proportional/direct variation equation.

Direct variation equations have the form:

Where a is the constant of proportionality.

Let’s solve for a. We know that when x=5, y=40. So:

Divide both sides by 5:

Therefore, our equation is:

We want to find the value of k such that y=-24. So, subsitute -24 for y and k for x:

Divide both sides by 8:

Hence, the value of k is -3.

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

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3