Which is the slope of the line that passes through the points (−3,1) and (4,−2)?

Mathematics

1 answer:

dimaraw [331]3 years ago

4 0

Answer:

The slope of the line is $-\frac{3}{7}$ ⇒ B

Step-by-step explanation:

Let us revise the rule of the slope

The rule of the slope of the line is m = $\frac{y2-y1}{x2-x1}$ , 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 = $\frac{-2-1}{4--3}$ = $\frac{-3}{4+3}$

∴ m = $-\frac{3}{7}$

∴ The slope of the line is $-\frac{3}{7}$

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