which graph represents the equation 12 = 3x + 4y?

Explanation:

Step1: Find the x - intercept

Set (y = 0) in the equation (12=3x + 4y). [ \begin{align*} 12&=3x+4\times0\ 12&=3x\ x& = 4 \end{align*} ]

Step2: Find the y - intercept

Set (x = 0) in the equation (12=3x + 4y). [ \begin{align*} 12&=3\times0+4y\ 12&=4y\ y&=3 \end{align*} ] The line (12 = 3x+4y) has a negative slope (since the equation can be rewritten as (y=-\frac{3}{4}x + 3)) and (x) - intercept at ((4,0)) and (y) - intercept at ((0,3))

Answer:

A.