Final answer:
To find the slope-intercept form of y-480=4(x-85), distribute the 4, add 480 to both sides to isolate y, and combine like terms to yield y=4x+140, which has a slope of 4 and a y-intercept of 140.
Step-by-step explanation:
The question involves transforming the equation y-480=4(x-85) into slope-intercept form, which is the form of y = mx + b. In the slope-intercept equation, m represents the slope of the line, and b is the y-intercept, the point where the line crosses the y-axis.
To transform the given equation into slope-intercept form, proceed as follows:
- Distribute the 4 across the terms in parentheses: y-480=4x-340.
- Add 480 to both sides to isolate y on one side: y=4x-340+480.
- Combine like terms to find the y-intercept: y=4x+140.
Now the equation is in slope-intercept form with a slope of 4 and a y-intercept of 140.