What is the y-intercept of the line in the standard (x, y) coordinate plane
What is the y-intercept of the line in the standard (x, y) coordinate plane that goes through the points (-3, 6) and (3,2) ?
- 0
- 2
- 4
- 6
- 8
Answer
The correct answer is C.
Find the equation of the line through the two points:
The slope of the line is the change in y divided by the change in x
= (6 - 2)/(-3 - 3)
= -2/3
The point-slope form of the equation is:
y - 2 = -2/3 (x - 3)
3(y - 2) = -2(x - 3)
3y - 6 = -2x + 6
3y = -2x + 12
y = -2x/3 + 4
The y-intercept is 4.