Math, asked by crazypie100, 3 months ago

find the slope of the line through each pair of points (6, -10) , (-15 , 15)​​

Answers

Answered by MiraculousBabe
46

Answer:

Answer:

\boxed{\boxed{\pink{\bf \leadsto The \ slope \ of \ the \ line \ is \ \dfrac{-25}{21}.}}}

Step-by-step explanation:

Two points are given to us and we need to find the slope of the line . The slope of the line passing through points  \bf (x_1,y_1 ) \ \& \ (x_2,y_2) is given by ,

\qquad\boxed{\red{\bf Slope = tan\theta=\dfrac{y_2-y_1}{x_2-x_1}}}

Here , the points are ,

  • ( 6 , -10 )
  • ( -15 , 15 )

\bf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1}

 \\\\\bf\implies Slope =\dfrac{15-(-10)}{-15-6}

 \\\\\bf\implies  Slope = \dfrac{15+10}{-21}\\\\\bf\implies Slope =\dfrac{-1(25)}{-1(-21)}\\\\ \bf\implies\boxed{\red{\bf Slope =\dfrac{-25}{21}}}

★ Hence the slope of the line joining the two points is -25/21 .

Answered by muskanshi536
4

Step-by-step explanation:

Answer:

Answer:

\boxed{\boxed{\pink{\bf \leadsto The \ slope \ of \ the \ line \ is \ \dfrac{-25}{21}.}}}

Step-by-step explanation:

Two points are given to us and we need to find the slope of the line . The slope of the line passing through points  \bf (x_1,y_1 ) \ \& \ (x_2,y_2) is given by ,

\qquad\boxed{\red{\bf Slope = tan\theta=\dfrac{y_2-y_1}{x_2-x_1}}}

Here , the points are ,

( 6 , -10 )

( -15 , 15 )

\bf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1}

 \\\\\bf\implies Slope =\dfrac{15-(-10)}{-15-6}

 \\\\\bf\implies  Slope = \dfrac{15+10}{-21}\\\\\bf\implies Slope =\dfrac{-1(25)}{-1(-21)}\\\\ \bf\implies\boxed{\red{\bf Slope =\dfrac{-25}{21}}}

★ Hence the slope of the line joining the two points is -25/21 .

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