Question 396829
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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
{{{drawing(300,300, -10,10,-10,10,
 grid(1),
circle(0, -7,0.4),
circle(-1, -3,0.4),
graph( 300, 300, -10,10,-10,10,-4x-7))}}}