Question

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

CLEAR CHECK

slope =−3

slope =−37

slope =12

slope =−73

Answer 1

The slope of the line is
`-(3)/(7)` ⇒ B

Explanation:

Let us revise the rule of the slope

The rule of the slope of the line is m =
`(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 =
`(-2-1)/(4--3)` =
`(-3)/(4+3)`

∴ m =
`-(3)/(7)`

∴ The slope of the line is
`-(3)/(7)`