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Answer:
y = x -
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x + 38 is in this form with slope m = - 4
The line ST is perpendicular to line RS ( angles in a square are 90° )
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
y = x + c ← is the partial equation
To find c substitute (2, - 4) into the partial equation
- 4 = + c ⇒ c = - 4 -
= -
y = x -
← equation of ST