which of the following graphs represents the equation $x + 5y = 27$? a b c d

Explanation:

Step1: Rewrite in slope - intercept form

We rewrite $x + 5y=27$ as $y=-\frac{1}{5}x+\frac{27}{5}$. The slope $m =-\frac{1}{5}$ and the y - intercept $b=\frac{27}{5}=5.4$.

Step2: Analyze the slope and y - intercept

A negative slope means the line is decreasing from left to right. The y - intercept is at the point $(0, 5.4)$.

Step3: Check the graphs

Graph A has a negative slope and a y - intercept around $y = 6$.

Answer:

A. Option A