5x+7y=1, ax + by = 1; In the given pair of equations, a and b are constants. The graph of this....

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Nonadaptive Digital SAT Practice Test 1 Module 2 Question 2:

5x + 7y = 1
ax + by = 1

In the given pair of equations, an and b are constants.The graph of this pair of equations in the xy-plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines?

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Sometimes equations are given in the form
ax + by = c
It is useful to note that the slope is -a/b. For the given equation
5x + 7y = 1
The slope is -5/7. So to find the perpendicular line represented by
ax + by = 1
We have, a = -7 and b = 5

For the answer choices:
A.
10x + 7y = 1
-7x - 10y = 1
Not perpendicular because of -10y
B.
10x + 7y = 1
-7x + 10y = 1
Perpendicular

OverclockingCowboy
Автор

wait shouldn't there be a faster method using desmos

uncljulio