AlgebraHardConstant from parallel lines through a point
Algebra practice question
In the xy-plane, line k is parallel to the line y = −2x + 9 and passes through the point (3, −1). What is the y-intercept of line k?
Answer: 5
Line k has slope −2: y = −2x + b, and −1 = −6 + b gives b = 5.
Common wrong answers
- If you answered 9
- 9 is the given line's intercept.
- If you answered -7
- −7 solves −1 = 6 + b, with the slope's sign wrong.
- If you answered -1
- −1 is the y-coordinate of the point.
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.