Question

If you were to graph the function f(x) = -1/5x + 4, on the semester test, you should first graph the y-intercept then use the slope to graph a second point and connect the points with a line. Write the y-intercept in the first box and in the second box write the slope.

Answer 1

To graph the function f(x) = -1/5x + 4, start by plotting the y-intercept at 4, then use the negative slope of -1/5 (down 1, right 5) to plot a second point and draw the line.

Step-by-step explanation:

When graphing the function f(x) = -⅕x + 4, the first step is to identify the y-intercept. The y-intercept is the value at which the line crosses the y-axis. In this equation, the y-intercept is represented by the '+4', so the y-intercept is 4. This is the starting point for plotting the graph on the y-axis.

Next, you need to identify the slope. The slope is represented by the coefficient of the x term, which is '-⅕' in this case. This tells us that the rise over run is -1 for every 5 units on the horizontal axis. A negative slope means that as x values increase, the y values decrease. Therefore, from the y-intercept, you would move down 1 unit vertically and 5 units to the right horizontally to plot the second point. Once you have these two points, you can draw a line through them to represent the function.