\ \
The given line is .
above line is slope - intercept form .
So, given line has a slope of() =
4.
So, a line parallel to it has a slope of .
Because you know the slope and a point on the line,
\Use point - slope form to write an equation of the line.
Let =
and slope(
) =
4.
(Substitute
5 for
,
3 for
and
=
4)
Rewrite in slope - intercept form .
(Product of two same signs is positive)
(Apply distributive property:
)
(Multiply:
)
(Subtract 5 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
\ \
Substitute =
in equation
.
(Multiply:
)
(Subtract:
)
The equation satisfies the condition. \ \
\So,The equation of the line is .
The equation of the line is .