Final answer:
The function y = -10x + 6 has a slope of -10 and a y-intercept of 6, whereas after simplifying y - 36 = 8(x - 4), we find it has a slope of 8 and a y-intercept of 4. Hence, both linear functions have different slopes and y-intercepts.
Step-by-step explanation:
When comparing the slopes and y-intercepts of the linear functions represented by the equations y = -10x + 6 and y - 36 = 8(x - 4), we must put both equations in slope-intercept form, which is y = a + bx, where b is the slope and a is the y-intercept.
The first equation y = -10x + 6 is already in slope-intercept form, so we can directly identify the slope, which is -10, and the y-intercept, which is 6.
For the second equation, we first expand and simplify it: y - 36 = 8(x - 4) becomes y - 36 = 8x - 32, then adding 36 to both sides gives us y = 8x + 4. Here, the slope is 8 and the y-intercept is 4.
Comparing these values, we can conclude that the slopes of the two functions are different, and their y-intercepts are also different. The first function has a steeper slope (downwards since it's negative) and a higher y-intercept than the second function.