Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)?

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

x=6 and x=3

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you can't solve x because it is 2 linear equation and you only have one equation