Which of the following lines has a slope of -1/2 a) x + 2y = 0 b) x - 2y = 0 c) -x + 2y = 0

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

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2