Final answer:
To write the given equation in slope-intercept form, distribute 3 to both terms inside the parentheses and then move 6 to the right side by subtracting it from both sides. The equation will be in slope-intercept form, with slope 3 and y-intercept -18.
Step-by-step explanation:
To write the given equation Y+6=3(x-4) in slope-intercept form, we need to isolate the variable Y on one side of the equation.
First, distribute 3 to both terms inside the parentheses: Y + 6 = 3x - 12.
Next, move 6 to the right side of the equation by subtracting it from both sides: Y = 3x - 18. This equation is now in slope-intercept form, with the slope being 3 and the y-intercept being -18.
Learn more about Slope-intercept form of an equation