Final answer:
The slope of the equation 6x-5y=12 is 1.2 or (6/5) when rearranged into slope-intercept form.
Step-by-step explanation:
To solve the mathematical problem of finding the slope of the equation 6x-5y=12, we will first rearrange the equation into slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept.
The steps are:
- Add 5y to both sides of the equation: 6x = 5y + 12
- Divide every term by 5 to solve for y: y = (6/5)x + (12/5)
Now that we have the equation in the slope-intercept form, we can see that the slope (m) is (6/5) or 1.2.
This means that for every increase of 1 on the horizontal axis (x-axis), there is a rise of 1.2 on the vertical axis (y-axis).