Answer :

Answer:

y-intercept = -2

y = 1.5x - 2

Step-by-step explanation:

y-intercept is the point where a graph crosses the y-axis, it's the value of y when x=0.

On the graph we can see that this it a point (0; -2).

So y-intercept = -2.

As it is the line the equation will be linear: y = k·x + b.

We can find the value of k, the gradient, by forming a right-angled triangle using the coordinates of the two points.

From the graph we see the easiest point to fird coordinates.

These are (0; -2) and (2; 1), for example.

k = change in y / change in x

k = (1-(-2)) / (2-0)

k = 3/2 = 1.5

And b = y-intercept.

So, the equation will be y = 1.5x - 2.