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The line equation in slope-intercept form is , where m is the slope and b is the y-intercept.
The line parallel to y = 2x + 2 has the same slope,2.
\Replace m with 2, and (x1, y1) with (2,-1) in point slope form equation
\
(Product of two same signs is positive)
(Apply distributive law: a(b - c) = ab - ac)
(Multiply:
) \ \
(Subtract 1 from each side)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
) \ \
The slope-intercept form line equation is .