Question

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

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=(1)/(2)*x+5`


`-4=(1)/(2)*2+5`


`-4=6`

False


`y=\frac{}{}*x-3`


`y=(1)/(2)*x-3`


`-4=(1)/(2)*2-3`


`-4=-2`

False


`y=(1)/(2)*x-5`


`-4=(1)/(2)*2-5`


`-4=-4`

True


`y=(1)/(2)*x+3`


`-4=(1)/(2)*2+3`


`-4=4`

False


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