SAT Math Question of the Day

Math Category: Geometric Slope:

Q: What is the y-intercept of the line 4(y + 3) - 4/3(x + 1) = 0?

  1. -8/3
  2. 1/3
  3. 2/3
  4. 4/3
  5. 4

UNANSWERED.

The correct answer is A.

A: The answer is -8/3.
First solve for y.
4(y + 3) - 4/3(x + 1) = 0
(y + 3) - 1/3(x + 1) = 0
y + 3 - 1/3x - 1/3 = 0
y = 1/3x - 8/3
The line is now in the y = mx + b format. m is the slope of the line and b is the y-intercept. b is -8/3, so that's the y-intercept of the line.