Question

Which ordered pairs are on the line with equation y+3.5=0.75(x−2)?

Select each correct answer.

​ (4, −2)

​ (−4, −8) ​

​ (1, 1.75)

​ (7, 5.5)​

Answer 1

A and C tell me if thoese are wrong because i'm only a beginner and i would like to learn from my mistakes

Answer 2

Given y + 3.5 = 0.75(x - 2)

when x = 4,

y + 3.5 = 0.75(4 - 2) = 0.75(2) = 1.5
y = 1.5 - 3.5 = -2.

Thus, the ordered pair (4, -2) is the line with equation y + 3.5 = 0.75(x - 2)

When x = -4,

y + 3.5 = 0.75(-4 - 2) = 0.75(-6) = -4.5
y = -4.5 - 3.5 = -8

Thus, the ordered pair (-4, -8) is the line with equation y + 3.5 = 0.75(x - 2)

When x = 1,

y + 3.5 = 0.75(1 - 2) = 0.75(-1) = -0.75
y = -0.75 - 3.5 = -4.25

Thus, the ordered pair (1, 1.75) is not on the line with equation y + 3.5 = 0.75(x - 2)

When x = 7,

y + 3.5 = 0.75(7 - 2) = 0.75(5) = 3.75
y = 3.75 - 3.5 = 0.25

Thus, the ordered pair (7, 0.25) is not on the line with equation y + 3.5 = 0.75(x - 2)