Question

Find the slope of the line through the points (-13,15), (20,-7)

Answer 1

Answer:

$\boxed{ \bold{ \huge{\boxed{ \sf{ \frac{ - 2}{3} }}}}}$

Step-by-step explanation:

Let the points be A and B

A ( -13 , 15 ) ⇒( x₁ , y₁ )

B ( 20 , -7 )⇒( x₂ , y₂ )

Finding the slope :

$\boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1} }}$

plug the values

⇒$\sf{slope = \frac{ - 7 - 15}{20 - ( - 13)} }$

We know that, $\sf{( - ) \times ( - ) = ( + )}$

⇒$\sf{slope = \frac{ - 7 - 15}{20 + 13}}$

Calculate the sum

⇒$\sf{slope = \frac{ - 22}{33} }$

Reduce the numbers with G.C.F 11

⇒$\sf{slope = \frac{ - 2}{3} }$

Hope I helped !

Best regards!!