Question

Which equation represents the linear function that is shown on the graph ​

Answer 1

Y = (1/2)x - 2

Explanation:

To compose a linear equation, always use the form

Y = Mx + C where C is the y-intercept and M is the gradient.

In this case, pick any 2 points on the graph to solve for M

e.g (8,2) and (6,1)

Gradient = (2 - 1) /(8 -6) given by (y1 - y2) / (x1 - x2) = 1 / 2

Substitute into the form, we get

Y = (1/2)x + C

Now, we use any point again on the graph,

e.g (6,1) and substitute as (x, y) into the above function.

We will get 1 = (6)(0.5) + C

C = -2

Piece them up and u get the full function.