Answer:
y = (-6)*x - 16
Explanation:
The slope-intercept form of a line is given by the equation:
y = mx + b
where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
In this case, the line passes through the point (-4,8) and has a slope of -6, so we can plug these values into the equation to find the y-intercept:
y = (-6)*x + b
We know that the line passes through the point (-4,8), so we can substitute these values into the equation to solve for b:
8 = (-6)*(-4) + b
8 = 24 + b
b = -16
Therefore, the equation of the line in slope-intercept form is:
y = (-6)*x - 16