The graph of linear function g passes through the points and , as shown.

a.3c q3
What are the slope and y-intercept of the graph of g?

Question 3 options:

The slope is

, and the y-intercept is -1

The slope is

, and the y-intercept is -1

The slope is

, and the y-intercept is 1

The slope is

, and the y-intercept is 1

1 answer

The slope of the linear function g can be determined by finding the change in y divided by the change in x between the two points. In this case, the change in y is -1 - 4 = -5 and the change in x is 2 - (-1) = 3. So the slope is -5/3.

The y-intercept can be found by looking at the y-coordinate when x = 0. From the graph, we can see that the y-intercept is -1.

Therefore, the correct answer is: The slope is -5/3 and the y-intercept is -1.