Prove: slope of × slope of = -1
statements reasons
1.
is similar to given
2. property of similar triangles
3. slope of
slope of definition of slope
4. slope of slope of multiplying the slopes
5. substitution property of equality
6. slope of slope of = -1
simplifying the right side
the table shows the proof of the relationship between the slopes of two perpendicular lines. what is the missing statement in step 5?

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presumably all methods would give the same solution; for each choice we just try x=-4, y=2 and see if it checks.

a.

3x+13y=3(-4)+13(2)=-12 + 26 = 14   that checks

6x+11y=6(-4)+11(2)=-24 + 22 = -2 that checks too

b.  

4x + 5y =4(-4)+5(2)=-16 + 10 = 6   nope

c.

5x+4y = 5(-4)+4(2)=-20 + 8= -12 nope

d.

10x+3y = 10(-4)+3(2)=-40 + 6 = -34 nope

answer: a (the first one) is correct