Question

A line passes through (3, 7) and (6, 9). Which equation best represents the line?

Answer 1

The equation of the st line is 2x -3y+15 = 0

Step-by-step explanation:

Given, two points are (3,7) and (6,9)

To find the equation of the line passing through these points

Formula

The equation of a line passing through (x1,y1) and (x2,y2) is

$\frac{y-y1}{x-x1} = \frac{y2-y1}{x2-x1}$

Hence,

The equation of the line passing through (3,7) and (6,9) is

$\frac{y-7}{x-3} = \frac{9-7}{6-3}$

or, $\frac{y-7}{x-3} = \frac{2}{3}$

or, 3(y-7) = 2(x-3) [ by cross multiplication we get]

or, 2x - 6 = 3y - 21

or, 2x -3y+15 = 0