Plot the function given below on the provided graph.
y = 2|x+ 2 |+ 3

Slope = 4.000/2.000 = 2.000

x-intercept = 7/-2 = -3.50000

y-intercept = 7/1 = 7.00000

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 y -  (2 • (x + 2) +  3)  = 0

Step  2  :

Equation at the end of step  2  :

 y - 2x - 7  = 0

Step  3  :

Equation of a Straight Line

3.1     Solve   y-2x-7  = 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  y-2x-7  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 7/1  =  7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/-2 Our line therefore "cuts" the x axis at x=-3.50000

 x-intercept = 7/-2  = -3.50000

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 7.000 and for x=2.000, the value of y is 11.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 11.000 - 7.000 = 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

 Slope = 4.000/2.000 = 2.000

 x-intercept = 7/-2 = -3.50000

 y-intercept = 7/1 = 7.00000

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step-by-step explanation:

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