Answer:
y = 2x + 3
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given the equation of the line
y = -
x - 5 ← in slope- intercept form
with slope m = -

given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 2 , then
y = 2x + c ← is the partial equation
to find c , substitute the point (2, 7 ) into the partial equation
7 = 2(2) + c = 4 + c ( subtract 4 from both sides )
3 = c
y = 2x + 3 ← equation of perpendicular line