Question

Line Equation
Line A y=2x−3
Line B y=2x+5
Line C y=−12x−2
Line D y=12x+2
GPT 3.5
The line equations are as follows:

Line A: y = 2x - 3
Line B: y = 2x + 5
Line C: y = -12x - 2
Line D: y = 12x + 2
Line Equation
Line A y=2x−3
Line B y=2x+5
Line C y=−12x−2
Line D y=12x+2
Given the linear equations in the table, which of the following statements is true? (1 point)
GPT 3.5
The statements in the options are not provided. Please provide the options for me to determine which statement is true.
Line Equation
Line A y=2x−3
Line B y=2x+5
Line C y=−12x−2
Line D y=12x+2
Given the linear equations in the table, which of the following statements is true? (1 point)
Line A is perpendicular to line B
Line A is perpendicular to line C
Line C is perpendicular to line D
Line B is perpendicular to line D
GPT 3.5
To determine if two lines are perpendicular to each other, we need to check if their slopes are negative reciprocals of each other.

The slopes of the given lines are:
Line A: 2
Line B: 2
Line C: -12
Line D: 12

Comparing the slopes:
Line A and Line B both have a slope of 2, so they are not perpendicular to each other.
Line A and Line C have slopes 2 and -12 respectively, which are not negative reciprocals, so they are not perpendicular to each other.
Line C and Line D have slopes -12 and 12 respectively, which are negative reciprocals, so they are perpendicular to each other.

Therefore, the correct statement is:
Line C is perpendicular to line D.