Write a linear equation representing the information shown in the table. A) y = –2∕5x – 5

B) y = –5∕2x – 5

C) y = 5∕2x – 5

D) y = 2∕5x – 5

C. y = ⁵/2x - 5

Step-by-step explanation:

The linear equation representing the information on the table can be expressed in the slope-intercept form as y = mx + b, where,

m = slope = change in y/change in x

b = y-intercept/initial value = the value of y when x is zero

✔️Find m using two pairs given, say (0, -5) and (2, 0):

slope (m) = (0 - (-5))/(2 - 0) = 5/2

m = ⁵/2

✔️Find b:

when x = 0, y = -5. Therefore, y-intercept, b, is -5

b = -5

✔️To write the equation, substitute m = ⁵/2 and b = -5 into y = mx + b

Thus:

y = ⁵/2x + (-5)

y = ⁵/2x - 5