Question

Find the equation of a line with slope 1/2 through the point (10,12)

Answer 1

`x-2y+14=0`

Explanation:

`Slope \:( m) =(1)/(2)`

`(x_1 \:y_1) =(10, \:12)`

Equation of line in point slope form is given as:

`y-y_1 =m(x-x_1)`

Plugging the values of m and
`(x_1 \:y_1)`, we find:

`y-12=(1)/(2) (x-10)`

`2y-24=x-10`

`0=x-10-2y+24`

`x-2y+14=0`

This is the required equation of line.