SAT Math Question of the Day

Math Category: Geometric Slope:

Q: What is the y-intercept of line (3 - y)/2 = (x + 4)/3?

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

UNANSWERED.

The correct answer is C.

A: The answer is 1/3.
First solve for y.
(3 - y)/2 = (x + 4)/3
3(3 - y) = 2(x + 4)
9 - 3y = 2x + 8
-3y = 2x - 1
y = -2/3x + 1/3
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 1/3, so that's the y-intercept of the line.