AlgebraHardEquation of a line parallel to a given line
Algebra practice question
Which equation represents the line in the xy-plane that passes through (0, −2) and is parallel to the line y = 4x + 7?
- A. y = 4x − 2Correct
- B. y = −(1/4)x − 2
- C. y = 4x + 7
- D. y = −2x + 4
Answer: A. y = 4x − 2
Parallel lines share the slope 4; the point (0, −2) is the y-intercept, so y = 4x − 2.
Why the other answers are wrong
- B. y = −(1/4)x − 2
- −1/4 is the slope of a PERPENDICULAR line.
- C. y = 4x + 7
- y = 4x + 7 is the original line; it passes through (0, 7), not (0, −2).
- D. y = −2x + 4
- −2x + 4 swaps the slope and intercept and flips a sign.
More Algebra questions
- Hard
For how many integer values of x is −2 < (x − 5)/3 ≤ 1 true? - Hard
The system 2x + 3y = 6 and 4x + 6y = k has infinitely many solutions. What is the value of k? - Hard
Which of the following is the complete solution set to |x − 4| < 6? - Hard
A student has $40 to spend on notebooks costing $4 each and pens costing $2 each, and wants at least 12 items … - Hard
What is the least whole number of minutes of international calling in a month for which the total monthly cost… - Hard
How many liters of the 30% acid solution did the technician use?
Not affiliated with the College Board. SAT is a trademark of the College Board.