CatherynGivliani
7

# 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 $y=\frac{1}{2}*x+5$ $-4=\frac{1}{2}*2+5$ $-4=6$ False $y=\frac{}{}*x-3$ $y=\frac{1}{2}*x-3$ $-4=\frac{1}{2}*2-3$ $-4=-2$ False $y=\frac{1}{2}*x-5$ $-4=\frac{1}{2}*2-5$ $-4=-4$ True $y=\frac{1}{2}*x+3$ $-4=\frac{1}{2}*2+3$ $-4=4$ False $\boxed{\boxed{\therefore~the~equation~that~represents~the~line~is~~C}}$
$\left \{ {{y=-4}\atop{x=2}}\right. \\ \\ A)\\ -4=\frac12 \cdot 2+5\\ -4=1+5\\ -4=6\\ No\\ \\ B)\\ -4=\frac12 \cdot 2-3\\ -4=1-3\\ -4=-2\\ No\\\\ C)\\ -4\frac12 \cdot 2-5\\ -4=1-5\\ -4=-4\\ Yes\\ \\ D)\\ -4=\frac12 \cdot 2+3\\ -4=1+3\\ -4=4\\ No\\ \\ Answer:C$