Find an equation of the line having the given slope and containing the given point. m=4/5,(2,-2)

Since you are asking for "an equation", the point-slope equation of a line is a suitable choice.

For slope m and point (h, k), the equation of a line can be written

... y -k = m(x -h)

For your values, this is

... y +2 = (4/5)(x -2)

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There are many other forms this equation could take. You can multiply by 5 and subtract the left side to put it into general form.

... 4x -5y -18 = 0

And you can add the opposite of the constant to put it into standard form.

... 4x -5y = 18

A favorite of many people is slope-intercept form, which you can find by solving any of these for y.

... y = (4/5)x - 18/5