Question

Here is a lkmeat equation: y=1/4x+5/41. Are (1, 1.5) and (12,4) solutions to the equation? A. Both (1, 1.5) and (12,4) are solutions to the equation.B. Neither (1, 1.5) and (12,4) are solutions to the equationC. (1, 1.5) is a solution to the equation but (12,4) is not.D. (12,4) is a solution to the equation but (1, 1.5) is not.Explain your reasoning

Answer 1

The equation is as follows:

$y=\frac{1}{4}x+\frac{5}{4}$

1. Are (1, 1.5) and (12,4) solutions to the equation?

$\begin{gathered} 1.5=\frac{1}{4}\cdot1+\frac{5}{4} \\ 1.5=1.5 \\ (1,1.5)\text{ is a solution } \\ 4=\frac{1}{4}\cdot12+\frac{5}{4} \\ 4=3+\frac{5}{4} \\ 4\ne4.25 \\ (12,4)\text{ is not a solution} \\ \end{gathered}$

The answer is C

(1, 1.5) is a solution to the equation but (12,4) is not.