Question

NEED HELP ASAP !!!

What is the y-intercept of the line passing through points (6,5) and (3,1)? Justify your answer.

Answer 1

(1-5)/(3-6)= -4/-3= 4/3

y - 5= 4/3(x - 6)

y - 5 = (4/3)x - 8

y = (4/3)x- 3

y-int (0,-3): -3

Answer 2

b = -3, or (0, -3)

Explanation:

As we move from (3,1) to (6,5), x increases by 3 and y increases by 4. Thus, the slope of this line is m = rise / run = 4/3.

Starting wth y = mx + b, we substitute 4/3 for m, 3 for x and 1 for y. Doing this results in:

1 = (4/3)(3) + b, which results in b = -3. Then the equation of this line is

y = (4/3)x - 3. The y-intercept is b, and b = -3.