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

Answer:

$\boxed {\boxed {\sf \frac{11}{7}}}$

Step-by-step explanation:

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

$m= \frac{y_2-y_1}{x_2-x_1}$

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.

$m= \frac{ -4 -7}{-5-2}$

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

$m= \frac{ -11}{-5-2}$

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

$m= \frac{ -11}{-7}$

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

$m= \frac{11}{7}$

The slope of the line is 11/7