Final answer:
The equation of a line with a given slope and point is found using the slope-intercept form, y = mx + b, after plugging in the values for the slope and the point coordinates. Due to missing slope information in the question, the exact equation cannot be determined.
Step-by-step explanation:
The student is asking for the equation of a line that has a specified slope and passes through a given point. The given slope is not stated in the question, implying a missing piece of information which makes the question incomplete. However, the general approach to finding the equation of a line with a known slope and point is to use the slope-intercept form of a line, which is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.
Since we know a point the line passes through, (-3, 8), we can plug in this point into the slope-intercept equation after the slope value is provided. For example, if we are told that the slope (m) is 2, then we could substitute (-3, 8) into the equation to find the y-intercept (b): 8 = 2(-3) + b. Solving for b would give us b = 14, and our final equation would be y = 2x + 14.
Without the given slope, we cannot determine the exact equation but can illustrate the process of how it would be calculated once all information is known.