Question

1. What is the slope of the line through the points (-6, 3) and (-7, -4)?
o 1

Answer 1

`\boxed{ \bold{ 7}}`

Explanation:

Let the points be A and B

A ( -6 , 3 ) ⇒ ( x₁ , y₁ )

B ( -7 , -4 )⇒ ( x₂ , y₂ )

Now, let's find the slope:

`\mathsf{(y2 - y1)/(x2 - x1)}`

Plug the values

⇒
`\mathsf{ ( - 4 - 3)/( - 7 - ( - 6)) }`

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

⇒
`\mathsf{ ( - 4 - 3)/( - 7 + 6)}`

Calculate

⇒
`\mathsf{ ( - 7)/( - 1) }`

Any expression divided by -1 equals it's opposite

⇒
`\mathsf{7}`

Hope I helped!

Best regards!!