AlgebraMediumSlope-intercept from standard form
Algebra practice question
The line 4x + 2y = 8 is written in the form y = mx + b. What is the value of b?
- A. 4Correct
- B. 8
- C. −2
- D. 2
Answer: A. 4
Solve for y: 2y = −4x + 8, so y = −2x + 4. The constant b is 4.
Why the other answers are wrong
- B. 8
- 8 is the constant before dividing by 2. Every term must be divided by 2.
- C. −2
- −2 is the slope m, not the intercept b.
- D. 2
- 2 is the x-intercept (4x = 8 when y = 0), not the y-intercept.
More Algebra questions
- Medium
A system: 2x + y = 11 and x − y = 1. What is the value of x + y? - Medium
Which of the following describes all solutions to 4x − 9 ≤ 2x + 5? - Medium
A phone's battery percentage is modeled by P = 100 − 8t, where t is the number of hours since it was unplugged… - Medium
If y = 2x − 1 and 3x + y = 14, what is the value of x? - Medium
If |2x − 3| = 7, what is the sum of all possible values of x? - Medium
Line k has equation y = (2/3)x + 1. Which equation represents a line perpendicular to line k?
Not affiliated with the College Board. SAT is a trademark of the College Board.