Final answer:
The equation of the line that passes through the point (3,7) and has a slope of 33 is y = 33x - 92.
Step-by-step explanation:
The equation of a line can be represented in the form y = mx + b, where m is the slope and b is the y-intercept.
Given that the line passes through the point (3,7) and has a slope of 33, we can substitute these values into the equation.
y = 33x + b
Using the point (3,7), we can substitute the coordinates into the equation to solve for b.
7 = 33(3) + b
7 = 99 + b
b = 7 - 99
b = -92
Therefore, the equation of the line is y = 33x - 92.