Solve using substiyution y=6x-11 y=-2/5x-23/.5

Slope = 12.000/2.000 = 6.000

x-intercept = 11/6 = 1.83333

y-intercept = -11/1 = -11.00000

Step-by-step explanation:

Step  1  :

Equation of a Straight Line

1.1     Solve   y-6x+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  y-6x+11  = 0 and calculate its properties

Graph of a Straight Line

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -11/1 so this line "cuts" the y axis at y=-11.00000

 y-intercept = -11/1  = -11.00000

Calculate the X-Intercept :

When y = 0 the value of x is 11/6 Our line therefore "cuts" the x axis at x= 1.83333

 x-intercept = 11/6  =  1.83333

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 -11.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - (-11.000) = 12.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = 12.000/2.000 =  6.000

Geometric figure: Straight Line

 Slope = 12.000/2.000 = 6.000

 x-intercept = 11/6 = 1.83333

 y-intercept = -11/1 = -11.00000

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f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

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