5) Egiimi 4 olan ve A(2,7) noktasindan geçen dogrunu denklemi a sağldakilerden hangisidir? a) y=2 x+4 b) y=7 x+11 c) y=4 x+2 d) y=4 x+7 e) y=4 x-1

To determine which line passes through the point \( A(2,3) \), we need to substitute the coordinates of point \( A \) into each equation and see if the equation holds true.<br /><br />Let's go through each equation:<br /><br />1. \( y = 2x + 4 \)<br /> Substituting \( x = 2 \) and \( y = 3 \):<br /> \[<br /> 3 = 2(2) + 4 \implies 3 = 4 + 4 \implies 3 = 8 \quad \text{(False)}<br /> \]<br /><br />2. \( y = 7x + 11 \)<br /> Substituting \( x = 2 \) and \( y = 3 \):<br /> \[<br /> 3 = 7(2) + 11 \implies 3 = 14 + 11 \implies 3 = 25 \quad \text{(False)}<br /> \]<br /><br />3. \( y = 4x + 2 \)<br /> Substituting \( x = 2 \) and \( y = 3 \):<br /> \[<br /> 3 = 4(2) + 2 \implies 3 = 8 + 2 \implies 3 = 10 \quad \text{(False)}<br /> \]<br /><br />4. \( y = 4x + 7 \)<br /> Substituting \( x = 2 \) and \( y = 3 \):<br /> \[<br /> 3 = 4(2) + 7 \implies 3 = 8 + 7 \implies 3 = 15 \quad \text{(False)}<br /> \]<br /><br />5. \( y = 4x - 1 \)<br /> Substituting \( x = 2 \) and \( y = 3 \):<br /> \[<br /> 3 = 4(2) - 1 \implies 3 = 8 - 1 \implies 3 = 7 \quad \text{(False)}<br /> \]<br /><br />None of the given equations are satisfied by the point \( A(2,3) \). Therefore, none of the provided lines pass through the point \( A(2,3) \).