Question

Write the equation of the line
that passes through (2,-1) and (4,5)

Answer 1

The equation of the line passing through the points (2,-1) and (4,5) is 3x-y = 5

Step-by-step explanation:

Given:

Points are (2,-1) and (4,5)

To find the equation of the passing through the given points.

Formula

The equation of the line passing through ($x_{1} ,y_{1}$) and ($x_{2} ,y_{2}$) is $\frac{y -y_{1} }{y_{2}-y_{1} } = \frac{x -x_{1} }{x_{2} -x_{1} }$

Now, putting,

$x_{1} =2,y_{1}-1= ,x_{2}=4 ,y_{2} =5$ we get,

$\frac{y+1}{5+1} = \frac{x-2}{4-2}$

or, $\frac{y+1}{6} = \frac{x-2}{2}$

or, 2(y+1) = 6(x- 2)

or, y+1 = 3(x-2)

or, 3x-y=5