Question

Write the equation in slope-intercept form, for the line that would coincide with (be in line with) line segment AB.

Answer 1

`y=2`

Explanation:

We are finding the equation of the line that coincide with line segment AB.

So, we can find the equation by using points A and B.

`A\rightarrow(-3,2)\\B\rightarrow)(1,2)`

Slope of line (m) =
`(y_2-y_1)/(x_2-x_1) = (2-2)/(1-(-3)) = 0`

Since slope = 0, therefore the line is parallel to x-axis.

The equation of line is given by
`y=mx+b`

where
`m` is slope and
`b` is y-intercept.

So equation of line AB:

where
`m=0` and
`b=2`

`y=(0)x+2`

`y=0+2`

`y=2`