How do you find the slope given #4x - 5y = -2#?

1 Answer
Meave60
Jul 17, 2015

The slope is #4/5# .

Explanation:

#4x-5y=-2#

The given equation is in the standard form for a linear equation. To determine the slope, you need to solve the standard equation for #y#. This will give you the slope-intercept form for a linear equation, #y=mx+b#, where #m# is the slope and #b# is the y-intercept.

Solve #4x-5y=-2# for #y#.

Subtract #4x# from both sides of the equation.

#-5y=-4x-2#

Divide both sides by #-5#.

#y=4/5x+2/5#

The slope is 4/5#.

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