Question

Write an equation of the line in point-slope form that passes through the given points.

(1Ė4) and (2Ė6)
An equation of the line is

Answer 1

y -4 = 2(x -1)

Explanation:

You want the point-slope equation of the line through (1, 4) and (2, 6).

Slope

The slope of the line can be found from the formula ...

m = (y2 -y1)/(x2 -x1)

m = (6 -4)/(2 -1) = 2/1 = 2

Point-slope form

The point-slope form equation of a line through point (h, k) with slope m is ...

y -k = m(x -h)

Using the first point, (1, 4), and the slope of 2, this becomes ...

y -4 = 2(x -1) . . . . . . . point-slope equation of the line

<95141404393>