Question

determine which of the following equations are linear in two linear in two variables
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Answer 1

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

• For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.

Answer 2

Answer:

2x+4y-11= 0

Step-by-step explanation:

    Solve   2x+4y-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+4y-11  = 0 and calculate its properties