Final answer:
The slope of the equation y + 3 = 3/4(x - 6) is 3/4, determined by rewriting it in standard slope-intercept form.
Step-by-step explanation:
The equation of a line in slope-intercept form, which is y + 3 = 3/4(x - 6). To find the slope of the line, we need to rewrite this equation in the standard slope-intercept form of y = mx + b, where m represents the slope and b the y-intercept. By isolating y on one side, we can see that the coefficient of x is the slope. Therefore:
y = 3/4(x - 6) - 3
After distributing the 3/4, the equation becomes:
y = (3/4)x - 4.5
The slope of the line is the coefficient of x, which in this case is 3/4.