To change 5x - 6y = 36 into slope-intercept form, we get the equation y = 5/6 x -6.
If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = mx +c
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
Slope intercept form is generally:
y=mx+b.
In order to convert an equation into slope-intercept form,
we have to solve for y.
[tex]5x-6y=36\\ -6y = 36 - 5x\\y = \dfrac{5}{6}x - 6.[/tex]
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