Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2. A) y = 1/2 x + 5 B) y = 1/2 x - 3 C) y = 1/2 x - 5 D) y = 1/2 x + 3

Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2. A) y = 1/2 x + 5 B) y = 1/2 x - 3 C) y = 1/2 x - 5 D) y = 1/2 x + 3we only need to put the values and find the equation[tex]y=\frac{1}{2}*x+5[/tex][tex]-4=\frac{1}{2}*2+5[/tex][tex]-4=6[/tex]False[tex]y=\frac{}{}*x-3[/tex][tex]y=\frac{1}{2}*x-3[/tex][tex]-4=\frac{1}{2}*2-3[/tex][tex]-4=-2[/tex]False[tex]y=\frac{1}{2}*x-5[/tex][tex]-4=\frac{1}{2}*2-5[/tex][tex]-4=-4[/tex]True[tex]y=\frac{1}{2}*x+3[/tex][tex]-4=\frac{1}{2}*2+3[/tex][tex]-4=4[/tex]False[tex]\boxed{\boxed{\therefore~the~equation~that~represents~the~line~is~~C}}[/tex]

[tex] \left \{ {{y=-4}\atop{x=2}}\right. \\
\\
A)\\
-4=\frac12 \cdot 2+5\\
-4=1+5\\
-4=6\\
No\\
\\
B)\\
-4=\frac12 \cdot 2-3\\
-4=1-3\\
-4=-2\\
No\\\\
C)\\
-4\frac12 \cdot 2-5\\
-4=1-5\\
-4=-4\\
Yes\\
\\
D)\\
-4=\frac12 \cdot 2+3\\
-4=1+3\\
-4=4\\
No\\
\\
Answer:C[/tex]