Answer:To find the slope of the line represented by the equation y + 1 = 3(x - 4), we can rewrite the equation in slope-intercept form, which is y = mx + b, where m represents the slope.
Let's solve for y in the given equation:
y + 1 = 3(x - 4)
Distribute the 3 on the right side:
y + 1 = 3x - 12
Next, isolate y by subtracting 1 from both sides:
y = 3x - 12 - 1
Simplify further:
y = 3x - 13
Now we can see that the coefficient of x, 3, represents the slope of the line.
Therefore, the slope of the line represented by the equation y + 1 = 3(x - 4) is 3.