Question

Find the slope of the line that passes through the points (1, 7) and (3, 3).

Answer 1

The slope of given line is -2

Explanation:

Points to remember

Let (x₁, y₁) and (x₂, y₂) be the two points in a line, then the slope of the line is given by,

slope, m = (y₂ - y₁)/(x₂ - x₁)

To find the slope of given line

Here (x₁, y₁) = (1, 7) and (x₂, y₂) = (3,3)

Slope m = (y₂ - y₁)/(x₂ - x₁) = (3 - 7)/(3 - 1)

= -4/2 = -2

Therefore the slope of given line is -2

Answer 2

Slope of the line that passes through the points (1, 7) and (3, 3) = -2

Explanation:

Given in the question two co-ordinates,

(1, 7)

(3, 3)

here x1 = 1

x2 = 3

y1 = 7

y2 = 3

Formula to use

m =
`(y2 - y1)/(x2 - x1)`

=
`(3-7)/(3-1)`

= -4/2

= -2