Final answer:
The equation in slope-intercept form given the slope of -74 and y-intercept of 5 is y = -74x + 5; hence, the correct answer is a) y = -74x + 5.
Step-by-step explanation:
The student is asking to find the slope-intercept form of a linear equation given the slope and y-intercept. In the slope-intercept form of a linear equation, which is y = mx + b, 'm' represents the slope and 'b' represents the y-intercept. Given that the slope (m) is -74 and the y-intercept (b) is 5, the slope-intercept form of the equation would be y = -74x + 5. Therefore, the correct answer to the question is a) y = -74x + 5.