SOLUTION: Could someone please show me step by step how to do these problems? 1. use the intercepts to graph the equation -x+3y=6 2. graph the line containing the given pair of points find

Hi

1. use the intercepts to graph the equation 

-x+3y=6   |When x = 0 then y = 2  and when y=0 then x = -6

Points (0,2) and (-6,0) on the Line

Plotting these points and connecting with a line



2. graph the line containing the given pair of points find the slope: 

 Using the point-slope formula, 

(-1,4)

( 4,1)   m = 3/-5

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.  

 y = (-3/5)x + b    |using order pair (-1,4) to solve for b

 4 = 3/5 + b

 17/5 = b

 y = (-3/5)x + 17/5