Which equation represents the line that passes through points (1 5) and (3 17)?

Answer 1

The general equation of a line through point (x0, y0) with gradient m is given by:

y - y0 = m(x - x0)

The gradient m between two points (x0, y0) and (yx1, y1) is given by:

m = change_in_y/change_in_x = (y1 - y0)/(x1 - x0)

→ line through points (1, 5) and (3, 17) is given by:

y - 5 = ((17 - 5)/(3 - 1))(x - 1)

→ y - 5 = (12/2)(x - 1)

→ y - 5 = 6(x - 1)

→ y - 5 = 6x - 6

→ y = 6x - 1