Question

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

Answer 1

Answer:

m=5/2

Step-by-step explanation:

We know that,

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

Answer 2

Answer:

$\boxed {\boxed {\sf m=\frac{5}{2}}}$

Step-by-step explanation:

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

$m=\frac{y_2-y_1}{x_2-x_1}$

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.

$m=\frac{6-1}{2-0}$

Solve the numerator.

$m=\frac{5}{2-0}$

Solve the denominator.

$m=\frac{5}{2}$

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

The slope of the line is 5/2