Answer:
[tex]\boxed {\boxed {\sf \frac{11}{7}}}[/tex]
Step-by-step explanation:
The slope describes the direction and steepness of a line. The formula is:
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
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.
[tex]m= \frac{ -4 -7}{-5-2}[/tex]
Solve the numerator (-4 -7 = -11).
[tex]m= \frac{ -11}{-5-2}[/tex]
Solve the denominator (-5-2 = -7).
[tex]m= \frac{ -11}{-7}[/tex]
Simplify the fraction. The 2 negative signs cancel each other out.
[tex]m= \frac{11}{7}[/tex]
The slope of the line is 11/7
