SOLUTION: What is the equation of the line that has a slope of -2 and goes through the point (4, -1)

Start with point-slope form:   where m is slope and 

( ,  ) is any point on the line:



y - (-1) =  -2(x - 4)

y + 1 = -2(x - 4)       <<<<  point-slope form



You can continue, by solving for y, you get slope-intercept form y = mx+b where m is slope and b is the y-intercept:



y + 1 = -2x + 8

y = -2x + 7              <<<< slope-intercept form



Finally, if you can put it in "standard form":  Ax + By = C:



2x + y = 7               <<<< standard form (slope is -A/B, y-intercept is C/B,

                              x-intercept is C/A)