Question

What is the slope of a line that passes through the points (0, 1) and (2, 6)?

please answer fast as can

Answer 1

m=5/2

Explanation:

We know that,

`Slope\ (m)=(Rise)/(Run)\\Slope\ (m)=(y_2-y_1)/(x_2-x_1) \\As here,\\x_1=0, x_2=2\\y_1=1, y_2=6\\Hence,\\Slope(m)\ of\ the\ following\ line\ =(6-1)/(2) =2.5`

Answer 2

`\boxed {\boxed {\sf m=(5)/(2)}}`

Explanation:

The slope formula is the change in y over the change in x, or:

`m=(y_2-y_1)/(x_2-x_1)`

Where (x₁,y₁) and (x₂, y₂) are the points the line passes through.

The points given are (0,1) and (2,6). Therefore:

`x_1=0\\y_1=1\\x_2=2\\y_2=6`

Substitute the values into the formula.

`m=(6-1)/(2-0)`

Solve the numerator.

`m=(5)/(2-0)`

Solve the denominator.

`m=(5)/(2)`

This fraction can not be simplified further, so it is our answer.

The slope of the line is 5/2