Question
Priya and Han each wrote an equation of a line with a slope 1/3 that passes though the point (1,2). Priya's equation is y-2=1/3(x-1) and Han's equation is 3y-x=5. Do you agree with either of them?
Answers
GPT 3.5
We can test each equation by substituting the point (1,2) into the equations and see if they hold true.
1. Priya's equation: y - 2 = 1/3(x - 1)
Substitute (1,2) into the equation:
2 - 2 = 1/3(1 - 1)
0 = 0
Since the equation holds true, Priya's equation is correct.
2. Han's equation: 3y - x = 5
Substitute (1,2) into the equation:
3(2) - 1 = 5
6 - 1 = 5
5 = 5
Since the equation holds true, Han's equation is also correct.
Therefore, both Priya and Han wrote correct equations for a line with a slope of 1/3 that passes through the point (1,2).
1. Priya's equation: y - 2 = 1/3(x - 1)
Substitute (1,2) into the equation:
2 - 2 = 1/3(1 - 1)
0 = 0
Since the equation holds true, Priya's equation is correct.
2. Han's equation: 3y - x = 5
Substitute (1,2) into the equation:
3(2) - 1 = 5
6 - 1 = 5
5 = 5
Since the equation holds true, Han's equation is also correct.
Therefore, both Priya and Han wrote correct equations for a line with a slope of 1/3 that passes through the point (1,2).