Final answer:
To convert 13x - 18y = 5 into slope-intercept form, subtract 13x from both sides and then divide by -18, resulting in y = (13/18)x - (5/18).
Step-by-step explanation:
To rewrite the equation 13x - 18y = 5 in slope-intercept form, which is y = mx + b, follow these steps:
- Move the term with x to the other side by subtracting 13x from both sides. This gives us -18y = -13x + 5.
- Next, divide the entire equation by -18 to solve for y. This yields y = (13/18)x - (5/18).
The slope-intercept form of the equation is y = (13/18)x - (5/18). Here, the slope (m) is 13/18, and the y-intercept (b) is -5/18.