Find an equation of the line containing the given pair of points (-2,-6) and (-6,-9)

Answer 1

(-6 - -9)/(-2 - -6) = 3/4

slope = the difference in y coordinates divided by the difference in x coordinates

(-6+9)/(-2+6) = 3/4 in point slope form

3/4 = (y+9)/(x+6)

4y+36 = 3x +18

4y = 3x +18-36

4y = 3x -18

y = (3/4) - 9/2 is the equation in slope intercept form

or

3x -4y -18 =0 in general form

or

3x -4y = 18 in standard form