Question

Find the slope of line joining the given pionts

$\mathtt{(i) \: ( - 6,1) \: and \: ( - 3,2)}$
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Answer 1

Answer:

here is the coreect answer you can check it

Answer 2

$\large\underline{\sf{Solution-}}$

Given coordinates are (-6 1) and (-3, 2).

We know,

Slope of a line joining the points (a, b) and (c, d) is denoted by the symbol 'm' and is given by

$\begin{gathered}\red\bigstar\:\:{\underline{\orange{\boxed{\bf{\green{m \: = \: \frac{ \: d \: - \: b \: }{ \: c \: - \: a \: } }}}}}} \\ \end{gathered}$

So, here,

$\rm :\longmapsto\:a = - 6$

$\rm :\longmapsto\:b = 1$

$\rm :\longmapsto\:c = - 3$

$\rm :\longmapsto\:d = 2$

So, on substituting the values, we get

$\rm :\longmapsto\:m \: = \: \dfrac{2 - 1}{ - 3 - ( - 6)}$

$\rm :\longmapsto\:m \: = \: \dfrac{1}{ - 3 + 6}$

$\rm :\longmapsto\:m \: = \: \dfrac{1}{3}$

So,

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \begin{gathered}\red\bigstar\:\:{\underline{\orange{\boxed{\bf{\green{Slope\:=\: \frac{1}{3} }}}}}} \\ \end{gathered}$

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MORE TO KNOW

Slope of a line is defined as the tangent of the angle p which a line makes with the positive direction of x axis measured in anti-clockwise direction and is represented Mathematically as

$\rm :\longmapsto\:m = tanp$

So,

• If m > 0, it means line make acute angle with the positive direction of x axis measured in anti-clockwise direction

• If m < 0, it means line make obtuse angle with the positive direction of x axis measured in anti-clockwise direction

• If m = 0, it means line is parallel to x - axis or itself x - axis

• If m is not defined, it means line is parallel to y - axis or itself y - axis.