Question

A line passes through the points (8, –1) and (–4, 2).

What is the y-intercept of this line?

Answer 1

the y-intercept of this line is 1

Answer 2

The y-intercept would be 1.

Explanation:

Since, the equation of the line passes through
`(x_1, y_1)` and
`(x_2, y_2)` is,

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Thus, the equation of the line passes through the points (8, -1) and (-4, 2) is,

`y+1=(2+1)/(-4-8)(x-8)`

For y-intercept, x = 0,

`y+1=(3)/(-12)(0-8)`

`y+1=(1)/(4)* 8`

`y+1=2`

`\implies y = 1`

Hence, y-intercept of the line would be 1.