y = - 6x - 23
the equation of a line in ' slope- intercept form ' is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 6
the partial equation is y = - 6x + c
to find c, substitute ( - 4, 1 ) into the partial equation
1 = 24 + c ⇒ c = 1 - 24 = - 23
y = - 6x - 23 ← equation in slope- intercept form