Question

WHAT IS THE ANSWER FOR THIS QUESTION OKZ ANYONE HELP ME

Answer 1

the line is increasing from left to right, meaning is higher on the right-end, therefore is an increasing slope, and "y varies directly proportional with x".

now, we know that when x = 4, y = 1, notice the big dot at (4,1), therefore,


`\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \begin{cases} x=4\\ y=1 \end{cases}\implies 1=k4\implies \cfrac{1}{4}=k\qquad \boxed{y=\cfrac{1}{4}x}`