Question

for each line state the slope, for a bonus state the slope l l & ⟂ to the slope of the given line

Answer 1

Slope of line =
`(1)/(2)`

Slope of parallel line =
`(1)/(2)`

Slope of perpendicular line = (-2)

Explanation:

Slope of a line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` is,

`m_1=(y_2-y_1)/(x_2-x_1)`

Therefore, equation of a line passing through points (1, -3) and (-1, -4) will be,

`m_1=(-4-(-3))/(-1-1)`

`=(1)/(2)`

If the slope of a line parallel to the given line is
`m_(2)`,

Then by the property of parallel lines,

`m_1=m_2`

Therefore, slope of the parallel line will be
`(1)/(2)`.

Property of perpendicular lines,

`m_1* m_2=-1`

`(1)/(2)* m_2=-1`

`m_2=-2`

Therefore, slope of the perpendicular line will be (-2).