Question

Find the slope:
A.3/5
B.5/3
C-3/5
D.-5/3

Answer 1

The slope of the line is
`(-5)/(3)` ⇒ D.

Explanation:

The rule of the slope of a line is

• m =
  `(y2-y1)/(x2-x1)`

• (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 =
`(-3-2)/(3-0)=(-5)/(3)`

∴ m =
`(-5)/(3)`

∴ The slope of the line is
`(-5)/(3)`