Question

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

Answer 1

`\boxed{\boxed{\pink{\bf \leadsto The \ slope \ of \ the \ line \ is \ (-25)/(21).}}}`

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=(y_2-y_1)/(x_2-x_1)}}`

Here , the points are ,

• ( 6 , -10 )
• ( -15 , 15 )

`\bf\implies Slope = (y_2-y_1)/(x_2-x_1) \\\\\bf\implies Slope =(15-(-10))/(-15-6) \\\\\bf\implies Slope = (15+10)/(-21)\\\\\bf\implies Slope =(-1(25))/(-1(-21))\\\\ \bf\implies\boxed{\red{\bf Slope =(-25)/(21)}}`

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