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

$y-4=\frac{1}{2}(x-1)$

therefore

The slope is equal to

$m=\frac{1}{2}$

The point is equal to

$(1,4)$

Answer 2

Answer:

The slope of the line is $\dfrac{1}{2}$ and a point on the line is $(1, 4)$  

Step-by-step 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,

$y-4=\dfrac{1}{2}(x-1)$

Comparing this to the general equation we get the point as $(1, 4)$ and slope as $\dfrac{1}{2}$