Question

Which equations represent the line that is perpendicular to the line 5x – 2y = -6 and passes through the point

(
5 4)? Select three options
y=
x-2
2x + 5y=-10
2x - 5y = -10
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Answer 1

You just need to put (5,4)into every equations and then the 2x-5y=-10 is the one.And also you need to know k1*k2=-1 is the way to prove perpendicular.

Answer 2

5y + 2x = 30

None of the above

Explanation:

5x-2y = -6

2y = 5x + 6

y = (5/2)x + 3

Gradient of the given line is 5/2

For perpendicular lines, m1×m2 = -1

Gradient of the perpendicular line would be -1÷(5/2) = -2/5

y = (-2/5)x + c

Passes through (5,4)

4 = (-2/5)(5) + c

4 = -2 + c

c = 6

y = (-2/5)x + 6

Multiply the entire equation by 5

5y = -2x + 30

5y + 2x = 30