Answer:
The slope between the two given point is -1
Step-by-step explanation:
The rule of the slope between two points (x1, y1) and (x2, y2) is
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
Let us use this rule to solve the question
∵ The given points are (-2, 9) and (1, 6)
∴ x1 = -2 and y1 = 9
∴ x2 = 1 and y2 = 6
→ Substitute them in the rule of the slope above
∵ m = [tex]\frac{6-9}{1--2}[/tex]
→ Remember (-)(-) = (+)
∴ m = [tex]\frac{-3}{1+2}[/tex]
∴ m = [tex]\frac{-3}{3}[/tex]
→ Divide up by down
∴ m = -1
∴ The slope between the two given point is -1
