Question

Which of the following lines has a slope of -1/2

a) x + 2y = 0
b) x - 2y = 0
c) -x + 2y = 0

Answer 1

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

Answer 2

remember the standard line equation!

`y = mx + b`
slope is m in this equation, and we want it to be -1/2 here

only a will give us m =-1/2


`a)x + 2y = 0 \\ 2y = - x \\ y = - (1)/(2) x`
so our answer is a!