What is the slope of the line with the equation y 2x 4?

We think you wrote:

This solution deals with the properties of a straight line.

y-i"ntercept=-4/1=-4.00000

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

                     y-(2*x-4)=0 

Step  1  :

Equation of a Straight Line

 1.1     Solve   y-2x+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.

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

Graph of a Straight Line :

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 = 4.000/2.000 = 2.000

Geometric figure: Straight Line

  1.   Slope = 4.000/2.000 = 2.000
  2.   x-intercept = 4/2 = 2
  3.   y-intercept = -4/1 = -4.00000


Page 2

We think you wrote:

This solution deals with the properties of a straight line.

y-i"ntercept=-4/1=-4.00000

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

                     y-(2*x-4)=0 

Step  1  :

Equation of a Straight Line

 1.1     Solve   y-2x+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.

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

Graph of a Straight Line :

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 = 4.000/2.000 = 2.000

Geometric figure: Straight Line

  1.   Slope = 4.000/2.000 = 2.000
  2.   x-intercept = 4/2 = 2
  3.   y-intercept = -4/1 = -4.00000

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