Final answer:
To graph the function F(x)=-4/3x+4, we can use the slope and y-intercept. The slope is -4/3, and the y-intercept is 4. By plotting the y-intercept and using the slope to find additional points, we can graph the line.
Step-by-step explanation:
To graph the function F(x)=-4/3x+4, we can use the slope and y-intercept. The slope of the line is -4/3, which means that for every increase of 3 on the horizontal axis, the line decreases by 4 on the vertical axis. The y-intercept is 4, which is the point where the line intersects the y-axis. To graph the line, we can plot the y-intercept at (0,4), and then use the slope to find additional points on the line.
Using the slope of -4/3, we can find another point by moving 3 units to the right and -4 units down from the y-intercept. This gives us the point (3,0). We can continue this pattern to find more points and then connect them to graph the line.
Hence, the slope is -4/3, and the y-intercept is 4.