Question

Find the slope of the line containing the points (2, 7) and (-5, -4).

Answer 1

the answer is 11/7.you can see the image

Answer 2

`\boxed {\boxed {\sf (11)/(7)}}`

Explanation:

The slope describes the direction and steepness of a line. The formula is:

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

Where (x₁, y₁) and (x₂, y₂) are the points the line contains. For this problem, the line contains the points (2,7) and (-5, -4). Therefore:

• x₁= 2
• y₁ = 7
• x₂ = -5
• y₂ = -4

Substitute these values into the formula.

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

Solve the numerator (-4 -7 = -11).

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

Solve the denominator (-5-2 = -7).

`m= ( -11)/(-7)`

Simplify the fraction. The 2 negative signs cancel each other out.

`m= (11)/(7)`

The slope of the line is 11/7