Question

For a given pair of points, find the equation of the line y=mx+b that goes through the points by solving a system of linear equations. (3,3) and (5,7)

Answer 1

y = 2x - 3

Explanation:

the formula for finding equation of a line is m = (y2 - y1 )/(x2 - x1). that is (7-3)/(5-3) which gives you 4/2 = 2.

you then chose one of the point and fill in the equation y - y1 = m (x -x1)

So let's chose (3,3) and fill in.

y - 3 = 2 (x - 3)

y - 3 = 2x - 6

y - 2x = -6 + 3

y - 2x = -3

Hence, the equation of the line is y = 2x - 3