10 December, 03:12
What is the result of subtracting the second equation from the first x-3y=6 and - 8x-y=6
10 December, 04:08
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
x-3*y - (6) = 0
Step by step solution:
Equation of a Straight Line
1.1 Solve x-3y-6 = 0
"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-3y-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 2/-1 so this line "cuts" the y axis at y=-2.00000
y-intercept = 6/-3 = 2/-1 = - 2.00000
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 - 2.000 and for x=2.000, the value of y is - 1.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of - 1.333 - (-2.000) = 0.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE
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