Question

Write the equation of the line that passes through (2,3) and (4, 1) in point-slope form. Use (2,3) for (x1, y1).

Answer 1

y-2 = -(x-2)

Explanation:

To find the slope

m = (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are two points on the line

= (1-3)/(4-2)

=-2/2

=-1

The point slope form is

y-y1 = m(x-x1) wher m is the slope and (x1,y1) is a point on the line

y-3 = -1(x-2)

y-2 = -(x-2)