slope of line = [tex] \frac{6-2}{-3-3}= \frac{4}{-6} =- \frac{2}{3} [/tex]
the equation : [tex](y-2)= \frac{-2}{3}(x-3) [/tex]
3y - 6 = -2x + 6, 2x+3y =12 (you can divide by 12 to get the equation straight away)
to get the intercept of both the x-axis and y-axis:
the intercept of x-axis (y=0) , 2x=12 , x = 6
the intercept of y-axis (x=0) , 3y=12 , y = 4
the equation is : [tex] \frac{x}{6} + \frac{y}{4} =1[/tex]
