Final answer:
To graph the inequality 3x - 4y < 4, convert it to slope-intercept form y = mx + b, draw a dashed line using the equation y = (-3/4)x + 1, and shade the region below the line.
Step-by-step explanation:
To graph the inequality 3x - 4y < 4, we need to transform it into the slope-intercept form y = mx + b. First, subtract 3x from both sides of the inequality to isolate -4y:
-4y = 4 - 3x
Next, divide both sides by -4 to solve for y:
y = (-3/4)x + 1
Now we can graph the equation on the axes. Since the inequality is strict (less than), we will draw a dashed line. The shaded region below the line represents all the solutions to the inequality.