Question

Graph the linear equation: 2x-y=4

Answer 1

Answer:

$Slope=2$

$x-intercept=\frac{4}{2} =2$

$y-intercept=\frac{4}{-1} =-4.00000$

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*x-y-(4)=0

Step 1:

Equation of a Straight Line

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

Graph of a Straight Line :

( see attatchment)

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 4/-1 so this line "cuts" the y axis at y=-4.00000

 y-intercept = 4/-1  = -4.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 2/1 Our line therefore "cuts" the x axis at x= 2.00000

 x-intercept = 4/2  =  2  

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 -4.000 and for x=2.000, the value of y is 0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.000 - (-4.000) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = 2

Geometric figure: Straight Line

1.  Slope = 2

2.  x-intercept = 4/2 = 2

3.  y-intercept = 4/-1 = -4.00000

- clarification for graph - green means rise  red means run , bottom black is x intercept which is 2.000  under rise is y-intercept  and under the y axis is 0.000 and -4.000.