Question

A line passes through (2, −1) and (4, 5).

Which answer is the equation of the line?

Answer 1

Answer:

$\Large\boxed{\mathsf{\Rightarrow 3}}$

Step-by-step explanation:

TO FIND:

The slope of (2, -1) and (4, 5).

TO SOLVE:

With slope formula.

SOLUTIONS:

Used slope formula.

$\Large\boxed{\textnormal{SLOPE FORMULA}}}$

$\displaystyle \mathsf{\frac{y_2-y_1}{x_2-x_1}=\frac{rise}{run}  }$

$\displaystyle \mathsf{y_2=5}\\\\\displaystyle \mathsf{y_1=(-1)}\\\\\displaystyle \mathsf{x_2=4}\\\\\displaystyle \mathsf{x_1=2}$

Solve.

$\displaystyle \mathsf{\frac{5-(-1)}{4-2}=\frac{5+1}{4-2}=\frac{6}{2}=\boxed{\mathsf{\Rightarrow 3}}   }$

Therefore, the slope is 3.