Question

use the point-slope equation to identify the slope and the coordinates of a point on the line y – 4 = 1/2 (x – 1). the slope of the line is . a point on the line is

Answer 1

we know that

The equation of the line into point-slope form is equal to

`y-y1=m(x-x1)`

where

m is the slope

(x1,y1) is the point

In this problem we have

`y-4=(1)/(2)(x-1)`

therefore

The slope is equal to

`m=(1)/(2)`

The point is equal to

`(1,4)`

Answer 2

The slope of the line is
`(1)/(2)` and a point on the line is
`(1, 4)`

Explanation:

The general point slope of line passing through
`(x_1,y_1)` and having slope as m.

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

The given equation of the straight line,

`y-4=(1)/(2)(x-1)`

Comparing this to the general equation we get the point as
`(1, 4)` and slope as
`(1)/(2)`