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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


Sagot :

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

[tex]y=\frac{1}{2}*x+5[/tex]

[tex]-4=\frac{1}{2}*2+5[/tex]

[tex]-4=6[/tex]

False

[tex]y=\frac{}{}*x-3[/tex]

[tex]y=\frac{1}{2}*x-3[/tex]

[tex]-4=\frac{1}{2}*2-3[/tex]

[tex]-4=-2[/tex]

False

[tex]y=\frac{1}{2}*x-5[/tex]

[tex]-4=\frac{1}{2}*2-5[/tex]

[tex]-4=-4[/tex]

True

[tex]y=\frac{1}{2}*x+3[/tex]

[tex]-4=\frac{1}{2}*2+3[/tex]

[tex]-4=4[/tex]

False

[tex]\boxed{\boxed{\therefore~the~equation~that~represents~the~line~is~~C}}[/tex]
[tex] \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[/tex]