Final answer:
The equation in slope-intercept form (y = mx + b) for the line with the given slope (m) and containing the point (-4, 4) is y = mx + 4 + 4m.
Step-by-step explanation:
The equation in slope-intercept form (y = mx + b) for the line with the given slope (m) and containing the point (-4, 4) can be written as:
y = mx + b
Plug in the values of the slope (m) and the coordinates of the point (-4, 4) into the equation:
4 = -4m + b
Since the equation is in terms of b, we need to solve for b. Rearranging the equation:
b = 4 + 4m
Therefore, the equation in slope-intercept form for the given line is y = mx + 4 + 4m.