Question

The coordinates of the points A and B are (0,-2) and (3,0), what is the y intercept of the line AB

Answer 1

The y-intercept of points A and B is -2.

Explanation:

Point A is the y-intercept. You can tell by looking at the x and seeing that it is 0. This means the point is the y-intercept.

Hope this helps!

-Luna

Answer 2

-2

Explanation:

Linear equations are typically organized in slope-intercept form:
`y=mx+b` where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis). To solve this question, first, find the slope, then, plug one of the given points into the equation to isolate b.

1) Find the slope (m)

`m=(y_2-y_1)/(x_2-x_1)` where the given points are
`(x_1,y_1)` and
`(x_2,y_2)`

Plug in the given points (0,-2) and (3,0)

`m=(0-(-2))/(3-0)\\m=(0+2)/(3)\\m=(2)/(3)`

Therefore, the slope of of the line is
`(2)/(3)`. Plug this into
`y=mx+b` as m:

`y=(2)/(3) x+b`

2) Find the y-intercept (b)

`y=(2)/(3) x+b`

Plug in one of the given points: (0,-2) or (3,0)

`0=(2)/(3) (3)+b\\0=2+b\\b=-2`

Therefore, the y-intercept of the line AB is -2.

I hope this helps!