Question

Find the slopes of the lines passing through the points (i)A(-2,3) and B(8,-5);
and (ii) C(4,-3) and D(6,-3).

Answer 1

Question -

Find the slopes of the lines passing through the points-

1)A(-2,3) and B(8,-5)

2)C(4,-3) and D(6,-3)

Solution -

We know that,

$slope(m) = \frac{ y_{2} - y_{1}}{ x_{2 } - x_{1} }$

$1)AB = \frac{ - 5 - 3}{8 - ( - 2)}$

$AB = \frac{ - 8}{8 + 2}$

$AB = \frac{ - 8}{10}$

$AB = \frac{ - 4}{5}$

Therefore the slopes of the lines passing through the points A(-2,3) and B(8,-5) is -4/5

$2)CD = \frac{ - 3 - ( - 3)}{6 - 4}$

$CD = \frac{ - 3 + 3}{2}$

$CD = \frac{0}{2}$

$CD = 0$

Therefore the slopes passing through the points C(4,-3) and D(6,-3) is 0