Question

1 Find the slope of
the line
i) if the inclined angle is 45
ii)passing throught the points (3,-4) (1,2)
iii)having a line is 4x-3y+5=0​

Answer 1

$(i) \: \tan(45) = 1 \\ therefore \: \: \: m = 1$

$(ii) \: m = \frac{y2 - y1}{x2 - x1} = \frac{2 - ( - 4)}{1 - 3} = \frac{ - 6}{ - 2} = 3$

$4x - 3y + 5 = 0 \: \: \: ...(i) \\ ax + by + c = 0 \: \: \: ...(ii) \\ by \: comparing \: equation \: \: (i) \: and \: (ii) \: \: \\ m = \frac{ - a}{b} \\ m = \frac{ - 4}{ - 3} = \frac{4}{3}$