Question

Line L passes through points (0,4) and (3,6) what is the slope of a line that is parallel to line L

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

Answer 1

Option C is correct.

Explanation:

The formula to find the slope given two points is:

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

We are given points (0,4) and (3,6)

where x₁ = 0 , y₁ = 4, x₂=3 and y₂=6

Putting values in the formula:

`slope = (6-4)/(3-0) \\slope = (2)/(3)`

So, slope is 2/3

Since the slope of line to be found is parallel to line L. So both lines have the same slope.

Slope of line parallel to line L = 2/3

Option C is correct.