Final answer:
To write the given equation in slope-intercept form, distribute, simplify, and isolate y.
Step-by-step explanation:
The given equation is y+6=(5/3)(x-9). To write this equation in slope-intercept form, we need to isolate y on one side of the equation. First, distribute the 5/3 to both terms inside the parentheses:
y + 6 = (5/3)x - 15/3
Next, simplify the right side of the equation:
y + 6 = (5/3)x - 5
Finally, subtract 6 from both sides of the equation:
y = (5/3)x - 5 - 6
y = (5/3)x - 11
So, the equation y+6=(5/3)(x-9) in slope-intercept form is y = (5/3)x - 11.
Learn more about Slope-intercept form