Answer :

mermeghan
First look at the slope. A perpendicular line will have a negative reciprocal slope of the given line.
y = -5/7x + ?
Now to find the y-intercept, substitute the given points (2, -6) into the equation and solve for b.
y = mx + b
-6 = -5/7(2) + b
-6 = -10/7 + b
Now get rid of -10/7 by using the subtraction property of equality (so add 10/7 to -10/7 to cancel it out and to -6)
-32/7 = b

The correct answer would be y = -5/7x - 32/7 (or y = -5/7x - 4.57 depending on which format it's wanted in)
saradodge48

Answer:

y=-5/7x-32/7

Step-by-step explanation:

The slope will be perpedicular to 7/5. So reciprocal and opposite sign:

7/5--> -5/7

Point: (2,-6)

Plug in slope and point

-6=-5/7(2)+b

-6=-10/7+b

+10/7+10/7

-32/7=b

Put all of it into an equation:

y=-5/7x-32/7

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