Question

Are (1,1.5) and (12,4) solutions to the equation y=1/4x+5/4

Answer 1

Answer:

The first set is a solution, the second is not.

Step-by-step explanation:

Testing by filling in the numbers into the equation:

(1, 1.5): x=1, y=1.5

⇒ 1.5 =? $\frac{1}{4}$ · 1 + $\frac{5}{4}$

⇒ 1.5 =? $\frac{1}{4}$ + $\frac{5}{4}$

⇒ 1.5 =? $\frac{6}{4}$

⇒ 1.5 =? 1.5  ⇒ Correct: is indeed solution to the equation

(12, 4): x=12, y=4

⇒ 4 =? $\frac{1}{4}$ · 12 + $\frac{5}{4}$

⇒ 4 =? $\frac{12}{4}$  + $\frac{5}{4}$

⇒ 4 =? $\frac{17}{4}$ ⇒ Incorrect: this is not a solution for the equation