ACT Exam  >  ACT Questions  >  A line in the standard (x,y) coordinate plane... Start Learning for Free
A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through points (3,4) and (t ,−2). What is the value of t?
  • a)
    3
  • b)
    2
  • c)
    0
  • d)
    -2
  • e)
    -6
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
A line in the standard (x,y) coordinate plane has a slope of 2/3 and p...
The correct answer is e. The question states that the slope of the line is 2/3. By definition, the slope of a line is the change in y/change in x , so set 2/3 equal to  and solve for t :

2(3 − t) = 18
3 − t = 9
−t = 6, or t = −6
Free Test
Community Answer
A line in the standard (x,y) coordinate plane has a slope of 2/3 and p...
Given information:
- Slope of the line = 2/3
- Line passes through points (3,4) and (t, -2)

Using the slope formula:
- Slope (m) = (y2 - y1) / (x2 - x1)
- Plug in the given points: 2/3 = (-2 - 4) / (t - 3)
- Simplify the equation: 2/3 = -6 / (t - 3)
- Cross multiply: 2(t - 3) = -18
- Expand and solve for t: 2t - 6 = -18
- Add 6 to both sides: 2t = -12
- Divide by 2: t = -6
Therefore, the value of t is -6, which corresponds to option 'E'.
Explore Courses for ACT exam

Top Courses for ACT

A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through points (3,4) and (t ,−2). What is the value of t?a)3b)2c)0d)-2e)-6Correct answer is option 'E'. Can you explain this answer?
Question Description
A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through points (3,4) and (t ,−2). What is the value of t?a)3b)2c)0d)-2e)-6Correct answer is option 'E'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through points (3,4) and (t ,−2). What is the value of t?a)3b)2c)0d)-2e)-6Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through points (3,4) and (t ,−2). What is the value of t?a)3b)2c)0d)-2e)-6Correct answer is option 'E'. Can you explain this answer?.
Solutions for A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through points (3,4) and (t ,−2). What is the value of t?a)3b)2c)0d)-2e)-6Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT. Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
Here you can find the meaning of A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through points (3,4) and (t ,−2). What is the value of t?a)3b)2c)0d)-2e)-6Correct answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through points (3,4) and (t ,−2). What is the value of t?a)3b)2c)0d)-2e)-6Correct answer is option 'E'. Can you explain this answer?, a detailed solution for A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through points (3,4) and (t ,−2). What is the value of t?a)3b)2c)0d)-2e)-6Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through points (3,4) and (t ,−2). What is the value of t?a)3b)2c)0d)-2e)-6Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through points (3,4) and (t ,−2). What is the value of t?a)3b)2c)0d)-2e)-6Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice ACT tests.
Explore Courses for ACT exam

Top Courses for ACT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev