How to solve this problem X-Y=-6

X-y=-6

Geometric figure: Straight Line

Slope = 1
x-intercept = -6/1 = -6.00000
y-intercept = 6/1 = 6.00000
Rearrange:

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

x-y-(-6)=0

Step by step solution :

Step 1 :

Equation of a Straight Line

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

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 6/1 so this line "cuts" the y axis at y= 6.00000

y-intercept = 6/1 = 6.00000
Calculate the X-Intercept :

When y = 0 the value of x is -6/1 Our line therefore "cuts" the x axis at x=-6.00000

x-intercept = -6/1 = -6.00000
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 6.000 and for x=2.000, the value of y is 8.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 8.000 - 6.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 1
Geometric figure: Straight Line

Slope = 1
x-intercept = -6/1 = -6.00000
y-intercept = 6/1 = 6.00000

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