Question

Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2. 

Answer 1

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

Answer 2

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

$\boxed{\boxed{\therefore~the~equation~that~represents~the~line~is~~C}}$