Answer:
The slope of the line is [tex]\frac{-5}{3}[/tex] ⇒ D.
Step-by-step explanation:
The rule of the slope of a line is
- m = [tex]\frac{y2-y1}{x2-x1}[/tex]
- (x1, y1) and (x2, y2) are two points lie on the line
Use the given figure to find two points on the line
→ From the given figure
∵ The line passes through points (0, 2) and (3, -3)
∴ x1 = 0 and y1 = 2
∴ x2 = 3 and y2 = -3
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-3-2}{3-0}=\frac{-5}{3}[/tex]
∴ m = [tex]\frac{-5}{3}[/tex]
∴ The slope of the line is [tex]\frac{-5}{3}[/tex]
