Final answer:
The slope and y-intercept of the equation 8X - 2y = 5, the equation is first rearranged into slope-intercept form, yielding y = 4X - 2.5, where the slope is 4, and the y-intercept is -2.5.
Step-by-step explanation:
To find the slope and y-intercept of the linear function represented by the equation 8X - 2y = 5, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
Following the steps to solve for y:
- 8X - 2y = 5
- Divide every term by -2 to isolate y:
-2y = -8X + 5 - y = 4X - 2.5
Now, the equation is in slope-intercept form.
Here, the coefficient of X (which is 4) is the slope, and the constant term (which is -2.5) is the y-intercept.