How do i find the y intercept?

Question

if the slope is -1/3 and the line passes through the point (4,-1)

Answer 1

y = -1/3 X + b

-1 = -4/3 + b

b = 1/3 (y intercept)

Answer 2

y = mx + b, where b is the y-intercept

-1 = -1/3 ( 4) + b

-1 = -4/3 + b..........add 4/3 to both sides

1/3 = b

The y-intercept is (0, 1/3)

Good luck to you !

Answer 3

In order to find the equation of a line when you are given the slope and a point on the line, you can use the point-slope formula:

(y - y1) = m(x - x1)

where m is the slope, and (x1,y1) is the given point.

For your data:

y + 1 = (-1/3)(x - 4)

Then put the equation in slope-intercept form to find the intercept.

y + 1 = (-1/3)x + 4/3

y = (-1/3)x + 1/3

The y-intercept is: (0,1/3)