Question

3. What is the slope of a line that is parallel to the line shown?

(0, 3) (3,2)

1/3
-1/3
-3
3/2

Answer 1

slope m = -
`(1)/(3)`

Explanation:

calculate the slope m of the line using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (3, 2) ← 2 points on the line

m =
`(2-3)/(3-0)` =
`(-1)/(3)` = -
`(1)/(3)`

• Parallel lines have equal slopes

then parallel line will have a slope of -
`(1)/(3)`