Find the slope of the line passing through the following pairs:
(3, 6) and (-6, -7)

- \frac{13}{9}

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\frac{1}{3}

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\frac{13}{9}

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\frac{9}{13}

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Solution

The correct option is C $\frac{13}{9}$
Slope
of the line passing through points $(x_{1}, y_{1})$
and $(x_{2}, y_{2})$ $=$ $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$
Hence, slope of the line passing through $(3, 6)$ and $(- 6, - 7) = \frac{- 7 - 6}{- 6 - 3} = \frac{- 13}{- 9} = \frac{13}{9}$

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Similar questions

Q. The number of parabolas passing through the three points

(1, 3), (6, 13), (- 5, - 9)

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

Q. Find the sum: 3+5+7+6+9+12+9+13+17.......30 terms

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Find the mode of:

5, 6, 9, 13, 6, 5, 6, 7, 6, 6, 3

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Find the slope of the line passing through the following pairs:(3, 6) and (-6, -7)

The correct option is C 139Slopeof the line passing through points (x1,y1)and (x2,y2) = y2−y1x2−x1Hence, slope of the line passing through (3,6) and (−6,−7)=−7−6−6−3=−13−9=139

Find the slope of the line passing through the following pairs:
(3, 6) and (-6, -7)

The correct option is C $\frac{13}{9}$
Slope
of the line passing through points $(x_{1}, y_{1})$
and $(x_{2}, y_{2})$ $=$ $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$
Hence, slope of the line passing through $(3, 6)$ and $(- 6, - 7) = \frac{- 7 - 6}{- 6 - 3} = \frac{- 13}{- 9} = \frac{13}{9}$