Question

What is the slope of the line that cuts through the points (1, 2) and (5, 4)?

Answer 1

`slope=(1)/(2)`

Explanation:

Use the following equation:

`(y_(2)-y_(1))/(x_(2)-x_(1))=(rise)/(run)`

Rise over run is the change in the y-axis over the change of the x-axis, otherwise known as the slope.

Insert the values:

`(1_(x1),2_(y1))\\(5_(x2),4_(y2))`

`(4-2)/(5-1)=(2)/(4) =(1)/(2)`

The slope is
`(1)/(2)`.

:Done

Answer 2

1/2

Explanation:

The formula for slope is: y1-y2/x1-x2

The points given are: (x-coordinate, y-coordinate)

In the formula:

y1 is the y-coordinate of the first point

y2 is the y-coordinate of the second point

x1 is the x-coordinate of the first point

x2 is the x-coordinate of the second point

This said, we can plug our points in.

2-4/1-5

Subtract.

-2/-4

Simplify.

-1/-2

The negatives will cancel each other out.

1/2

The slope of the line that cuts through the points (1,2) and (5,4) is 1/2.