Final answer:
The slope of the given line is -6, and the given point on the line is (0, 62).
Step-by-step explanation:
The given linear equation is y + 4 = -6(x - 11).
To find the slope, we need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m represents the slope. Let's start by simplifying the equation:
y + 4 = -6x + 66
y = -6x + 62
Comparing this equation to y = mx + b, we can see that the slope is -6.
The given point on the line is the y-intercept, which is the point where the line crosses the y-axis. In this case, the y-intercept is the value of y when x is 0.
Substituting x = 0 into the equation y = -6x + 62, we find y = 62.
Therefore, the slope of the line is -6 and the given point is (0, 62).