Graph the line given by the equation.

2y = -3x

Answer:

1. Slope = -3.000/2.000 = -1.500

2.  x-intercept = 0/3 = 0.00000

3. y-intercept = 0/2 = 0.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*y-(-3*x)=0

STEP

1

:

Equation of a Straight Line

1.1     Solve   2y+3x  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"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  2y+3x  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 0/2 so this line "cuts" the y axis at y= 0.00000

 y-intercept = 0/2  =  0.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 0/3 Our line therefore "cuts" the x axis at x= 0.00000

 x-intercept = 0/3  =  0.00000  

Calculate the Slope :

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 -0.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - -0.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -3.000/2.000 = -1.500  

Geometric figure: Straight Line

 Slope = -3.000/2.000 = -1.500

 x-intercept = 0/3 = 0.00000

 y-intercept = 0/2 = 0.00000

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