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

Verified Answer :

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:

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 \(\dfrac{1}{2}\)

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