Final answer:
The slope of the line in Figure A1 is 3, and the y-intercept is 9. These terms correspond to the parameters in the linear equation y = a + bx, leading to the function rule y = 9 + 3x for the given graph.
Step-by-step explanation:
When you have a linear equation in the form y = a + bx, the terms represent specific characteristics of the graph. The coefficient b represents the slope of the line, which tells us how steep the line is on a graph, and the constant a is the y-intercept, indicating where the line crosses the y-axis.
In the case of Figure A1, we're provided with the slope and y-intercept already. The graph shows a line with a slope of 3 and a y-intercept of 9. This means that for every increase of 1 unit on the horizontal x-axis, the value of y rises by 3 units. The point where the line intersects the y-axis is (0,9), which is the y-intercept.
Based on the given information, the linear function rule that can be written for this particular graph is y = 9 + 3x. Here, our a value, representing the y-intercept, is 9, and our b value, representing the slope, is 3.