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

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

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


RELATED: