Let’s convert the equation into slope-intercept form.
Slope-intercept form: y=mx+b, where m=slope and b=y-intercept.
Given: 5x+1y=6
Subtract 5x from both sides:
1y=-5x+6
Anything multiplied by 1 equals itself, so 1y=1•y=y.
Thus, the equation in slope-intercept form is: y=-5x+6
We converted the equation to this form because it tells us the slope.
The slope is: m=-5