Question

Given that a line has a slope of 5 and a point on the line is (2, 3), What is the equation of the line in point-slope form

Answer 1

y - 3 = 5(x - 2)

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 5 and (a, b) = (2, 3), hence

y - 3 = 5(x - 2) ← equation in point- slope form

Answer 2

y - y1 = m(x - x1)

where y1 is the y coordinate, x1 is the x coordinate, and m is the slope.

this yields y - 3 = 5(x - 2)