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A line passes through the points (8, -1) and (-4, 2).
10
8
6
4
-10 -3 -6 6 -2
2
4
6
8
10
X
4
-6
do
8
-10
What is the y-intercept of this line?

A line passes through the points 8 1 and 4 2 10 8 6 4 10 3 6 6 2 2 4 6 8 10 X 4 6 do 8 10 What is the yintercept of this line class=

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altavistard

Answer:

The y-intercept of this line is 1 (or  (0, 1)  )

Step-by-step explanation:

Going from (8, -1) to (-4, 2), the x-coordinate decreases by 12 and the y-coordinate increases by 3.  Thus, the slope of this line is m = rise/run = 3/(-12), or m = -1/4.

Let's use this information (x = 8, y = -1, m = -1/4) and the slope-intercept formula y = mx + b to find the y-intercept (b):

-1 = (-1/4)(8) + b, which simplifies to -4 = -8 + 4b.  Solving for b, we get

4 = 4b, so that b must be 1.

The y-intercept of this line is 1 (or  (0, 1)  )

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