2x + 3y=11
-x - 5y=-23

Step-by-step explanation:

Geometric figure: Straight Line

 Slope = -1.333/2.000 = -0.667

 x-intercept = 11/2 = 5.50000

 y-intercept = 11/3 = 3.66667

Rearrange:

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

                    2*x+3*y-(11)=0

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   2x+3y-11  = 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  2x+3y-11  = 0 and calculate its properties

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step-by-step explanation: