Question

Find the slope of the line connecting the points(2.7)and(-5.-4

Answer 1

Answer: slope = 11/7

Explanation:

In order to find the slope of the line, I am going to use the slope formula:

`\boxed{\boxed{\Large\boldsymbol{\sf{m=\cfrac{y_2-y_1}{x_2-x_1}}}}}`

Where
`(x_1,y_1) \ and \ (x_2,y_2)` are points on the line.

Put the values into this formula:

`\large\boldsymbol{\sf{m=\cfrac{-4-7}{-5-2}}}`

`\large\boldsymbol{\sf{m=\cfrac{-11}{-7}}}`

`\large\boldsymbol{\sf{m=\cfrac{11}{7}}}`

Therefore the slope is 11/7.

Answer 2

slope =
`(11)/(7)`

Explanation:

calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (2, 7 ) and (x₂, y₂ ) = (- 5, - 4 )

substitute these values into the formula for m

m =
`(-4-7)/(-5-2)` =
`(-11)/(-7)` =
`(11)/(7)`