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