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
[tex]\frac{y-y1}{x-x1} = \frac{y2-y1}{x2-x1}[/tex]
Hence,
The equation of the line passing through (3,7) and (6,9) is
[tex]\frac{y-7}{x-3} = \frac{9-7}{6-3}[/tex]
or, [tex]\frac{y-7}{x-3} = \frac{2}{3}[/tex]
or, 3(y-7) = 2(x-3) [ by cross multiplication we get]
or, 2x - 6 = 3y - 21
or, 2x -3y+15 = 0
