Answer:
[tex] \boxed{ \bold{ 7}}[/tex]
Step-by-step explanation:
Let the points be A and B
A ( -6 , 3 ) ⇒ ( x₁ , y₁ )
B ( -7 , -4 )⇒ ( x₂ , y₂ )
Now, let's find the slope:
[tex] \mathsf{\frac{y2 - y1}{x2 - x1}}[/tex]
Plug the values
⇒[tex] \mathsf{ \frac{ - 4 - 3}{ - 7 - ( - 6)} }[/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
⇒[tex] \mathsf{ \frac{ - 4 - 3}{ - 7 + 6}} [/tex]
Calculate
⇒[tex] \mathsf{ \frac{ - 7}{ - 1} }[/tex]
Any expression divided by -1 equals it's opposite
⇒[tex] \mathsf{7}[/tex]
Hope I helped!
Best regards!!
