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

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

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

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