Question

Find the slope of the line that passes through (5, 5) and (1, 0),

Simplify your answer and write it as a proper fraction, improper fraction, or integer,

Answer 1

Slope is 5/4.

Explanation:

The slope of two points can be expressed as
`\displaystyle \large{m=(y_2-y_1)/(x_2-x_1)` where m represents the slope,

Let (5,5) be (x1,y1) and (1,0) be (x2,y2). Thus:

`\displaystyle \large{m=(0-5)/(1-5)=(-5)/(-4)=(5)/(4)}`

You can also consider both points other way around. We can let (1,0) be (x1,y1) and (5,5) be (x2,y2) and therefore:

`\displaystyle \large{m=(5-0)/(5-1)=(5)/(4)}`

Therefore, the slope is 5/4.