Question

Question #f5f2e

Answer 1

see explanation.

Explanation:

Given a line cutting off an intercept of `-2` from the y-axis, the line passes through `(0,-2)`.
When a line is equally inclined with the axes, the line makes equal angle with both the `x and y` axes.
`=>` the inclination angle `=45^@`
`=>` slope of the lines `(m)` will be either `1 or -1`
As shown in the figure, Line `A` has a slope of `1` and Line `B` has a slope of `-1`.
Given that y-intercept `=-2`
`=>` equation of Line `A` in slope-intercept form :
`y=mx+b`
where `m` is the slope and `b` the y-intercept
`=> y=x-2`

Equation of Line `B` :
`y=mx+b`
`=> y=-x-2`

Hence equations of the lines are :
`y=x-2` and `y=-x-2`