SAT Math Question of the Day

Math Category: Geometric Slope:

Q: The y-intercept of the line 3/7(x + 1) = 4/7(y - 1) is

  1. 3/7
  2. 4/7
  3. 3/4
  4. 1
  5. 7/4

UNANSWERED.

The correct answer is E.

A: The answer is 7/4.
First solve for y.
3/7(x + 1) = 4/7(y - 1)
3(x + 1) = 4(y - 1)
3x + 3 = 4y - 4
4y - 4 = 3x + 3
4y = 3x + 7
y = 3/4x + 7/4
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 7/4, so that's the y-intercept of the line.