Hi

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

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

I. solve for y

4x + y= -7    |solving for y

   y = -4x - 7   Slope m = -4 and y-intercept is -7

II. Plot the y-intercept Pt(0,7)

III. using the slope of -4/1 to plot one or two more points: (-1,-3)for ex

 m = -(4/1) as y increases/decreases by 4, x value changes by 1 in the opposite direction

IV.  connecting points with a line completes the graphing



 

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