Answer:
The slope of the line is [tex]-\frac{1}{7}[/tex]
Step-by-step explanation:
The rule of the slope of a line which passes through points
(x1, y1) and (x2, y2) is
- [tex]m=\frac{y2-y1}{x2-x1}[/tex]
∵ The line passes through points (19, 8) and (-2, 11)
∴ x1 = 19 and x2 = -2
∴ y1 = 8 and y2 = 11
→ Use the rule above to find the slope of the line
∵ [tex]m=\frac{11-8}{-2-19}=\frac{3}{-21}[/tex]
→ Simplify the fraction by divide up and down by 3
∴ [tex]m=-\frac{1}{7}[/tex]
∴ The slope of the line is [tex]-\frac{1}{7}[/tex]
