Question

Write the equation in point-slope

form that passes through the point (1,3) and has a slope of 1/2.

Answer 1

`\huge\boxed{y-3=(1)/(2)(x-1)}`

Explanation:

The point-slope form of an equation of a line:

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

`m`- slope

`(x_1;\ y_1)` - point on a line

We have

`m=(1)/(2);\ (1;\ 3)\to x_1=1;\ y_1=3`

Substitute:

`y-3=(1)/(2)(x-1)`