An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 5 to 5 in increments of 1. An upward slanting line is plotted on the coordinate plane. The upward slanting line with arrows at both ends passes through the following closed points: left parenthesis negative 4 comma start fraction negative 10 over 3 end fraction right parenthesis, and left parenthesis negative 1 comma start fraction negative 4 over 3 end fraction right parenthesis.

Question

Determine the initial value and the rate of change of the linear function as given in the graph.

The initial value is 1/6, and the rate of change is 3/2

The initial value is 2/3, and the rate of change is −2/3

The initial value is −2, and the rate of change is 2/3

The initial value is −2/3, and the rate of change is 2/3

only answer the question

Answer 1

The initial value is −2/3, and the rate of change is 2/3.