Question

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

Answer 1

Answer:

Slope of line = $\frac{1}{2}$

Slope of parallel line = $\frac{1}{2}$

Slope of perpendicular line = (-2)

Step-by-step explanation:

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

$m_1=\frac{y_2-y_1}{x_2-x_1}$

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

$m_1=\frac{-4-(-3)}{-1-1}$

     $=\frac{1}{2}$

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 $\frac{1}{2}$.

Property of perpendicular lines,

$m_1\times m_2=-1$

$\frac{1}{2}\times m_2=-1$

$m_2=-2$

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