Answer:
The slope of the line is [tex]-\frac{3}{7}[/tex] ⇒ B
Step-by-step explanation:
Let us revise the rule of the slope
The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
- (x1, y1) and (x2, y2) are two points lie on the line
∵ The line passes through the point (-3, 1) and point (4, -2)
→ That means one of them is (x1, y1) and the other is (x2, y2)
∴ x1 = -3 and y1 = 1
∴ x2 = 4 and y2 = -2
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-2-1}{4--3}[/tex] = [tex]\frac{-3}{4+3}[/tex]
∴ m = [tex]-\frac{3}{7}[/tex]
∴ The slope of the line is [tex]-\frac{3}{7}[/tex]
