y = one fifthx – 10; (15, –16)

Question

(1 point)
Responses

y = –5x + 19

y = one fifthx + 91over5

y = one fifthx – 19

y = 5x – 19

Answer 1

To find the correct equation, we can plug in the given point (15, -16) into each option and see which one is satisfied.

Let's try:

1. y = -5x + 19
-16 = -5(15) + 19
-16 = -75 + 19
-16 = -56
This equation does not hold.

2. y = 1/5x + 91/5
-16 = 1/5(15) + 91/5
-16 = 3 + 91/5
-16 = 16.2
This equation does not hold.

3. y = 1/5x - 19
-16 = 1/5(15) - 19
-16 = 3 - 19
-16 = -16
This equation holds.

4. y = 5x - 19
-16 = 5(15) - 19
-16 = 75 - 19
-16 = 56
This equation does not hold.

Therefore, the correct equation is y = 1/5x - 19.