SOLUTION: Determine the standard form of the equation of the line that passes through (-2,-4) and (-5,-7)

Hi,         

Using the standard slope-intercept form for an equation of a line y = mx + b 

 where m is the slope and b the y-intercept. 

 Using the point-slope formula,  to find m

  (-2,-4) and (-5,-7)

m = [-7-(-4)] / [-5-(-2)] = -3/-3 = 1

 y = 1*x + b    Using ordered pari pt(-2,-4) to solve for b

-4 = 1*-2 + b

  -2 = b

 y = x -2