# 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 + 3 we only need to put the values and find the equation [latex]y=\frac{1}{2}*x+5[/latex] [latex]-4=\frac{1}{2}*2+5[/latex] [latex]-4=6[/latex] False [latex]y=\frac{}{}*x-3[/latex] [latex]y=\frac{1}{2}*x-3[/latex] [latex]-4=\frac{1}{2}*2-3[/latex] [latex]-4=-2[/latex] False [latex]y=\frac{1}{2}*x-5[/latex] [latex]-4=\frac{1}{2}*2-5[/latex] [latex]-4=-4[/latex] True [latex]y=\frac{1}{2}*x+3[/latex] [latex]-4=\frac{1}{2}*2+3[/latex] [latex]-4=4[/latex] False [latex]\boxed{\boxed{\therefore~the~equation~that~represents~the~line~is~~C}}[/latex]

[latex] \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[/latex]