Answer:
Slope = -1.500/2.000 = -0.750
x-intercept = -20/3 = -6.66667
y-intercept = -20/4 = -5
Step-by-step explanation: Solve 4y+3x+20 = 0
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4y+3x+20 = 0 and calculate its properties
Notice that when x = 0 the value of y is -5/1 so this line "cuts" the y axis at y=-5.00000
y-intercept = -20/4 = -5
When y = 0 the value of x is -20/3 Our line therefore "cuts" the x axis at x=-6.66667
x-intercept = -20/3 = -6.66667
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -5.000 and for x=2.000, the value of y is -6.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -6.500 - (-5.000) = -1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -1.500/2.000 = -0.750
Slope = -1.500/2.000 = -0.750
x-intercept = -20/3 = -6.66667
y-intercept = -20/4 = -5