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.  

  4y + 3x = -4     |solving for y to put into slope-intercept form

      y = -(3/4)x - 1

  y-intercept is (0,-1) slope of the line m = -(3/4) line slants to left m < 0

Note: slope tells us as y value changes by 3, x value changes by 4 in the opposite direction



 

Answer by emargo19(101)   (Show Source): You can put this solution on YOUR website!
 Slope intercept equation (y=mx+b)

b = y-intercept

m=slope



4y + 3x = -4

4y = -3x - 4

y = -3/4x -1

b = -1 (Therefore y=-1)

Lets plot y=-1 and m=-3/4 

I'll start by plotting y=-1

From this point, I go down -3 on the  y-axis and over 4 to the left on x-axis:





 

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