Respuesta :
remember the standard line equation!
[tex]y = mx + b[/tex]
slope is m in this equation, and we want it to be -1/2 here
only a will give us m =-1/2
[tex]a)x + 2y = 0 \\ 2y = - x \\ y = - \frac{1}{2} x[/tex]
so our answer is a!
[tex]y = mx + b[/tex]
slope is m in this equation, and we want it to be -1/2 here
only a will give us m =-1/2
[tex]a)x + 2y = 0 \\ 2y = - x \\ y = - \frac{1}{2} x[/tex]
so our answer is a!
Inorder to Find the Slope write the given line in the form : y = mx + c
where m is the slope and c is the y-intercept
Let us check the first option :
(a) x + 2y = 0
⇒ 2y = -x
⇒ y = -x/2
Comparing with standard form y = mx + c
we can notice that m= -1/2 and c = 0
So, the Line which has slope of -1/2 is (a) x + 2y = 0