Question

Find the slope
-5/4
4/5
-4/5

Answer 1

The slope of the line is
`(4)/(5)` ⇒ B

Explanation:

You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule
`m=(y2-y1)/(x2-x1)`

Let us use this rule to answer the question

From the attached graph:

∵ The given line passes through points (-1, -2) and (4, 2)

→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)

∴ x1 = -1 and x2 = 4

∴ y1 = -2 and y2 = 2

→ Substitute their values in the rule of the slope above

∴
`m=(2--2)/(4--1)=(2+2)/(4+1)=(4)/(5)`

∴ The slope of the line is
`(4)/(5)`