Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)?
1 answer:
Answer:
y = 2x/5 - 6
Step-by-step explanation:
1) Rerrange and simplify eqation for simplicity
y = 5x/2 + 3
2) Perpindicular lines have inverse slopes (proof not shown so look it up if you require this)
m = 2/5
3) Construct base new equation
y = mx + d
4) Sub in in point and slope to solve for unknowns
-4 = (2/5)(5) + d
-4 = 2 + d
d = -6
5) Sub in known
y = 2x/5 - 6
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