Math, asked by badailap144, 7 months ago

x=7y-28+4 (solve this equation)

Answers

Answered by Anonymous
0

Answer:

Rearrange:

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

x-7*y-(28)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve x-7y-28 = 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-7y-28 = 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 = 28/-7 = 4/-1 = -4.00000

Calculate the X-Intercept :

When y = 0 the value of x is 28/1 Our line therefore "cuts" the x axis at x=28.00000

x-intercept = 28/1 = 28.00000

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 -4.000 and for x=2.000, the value of y is -3.714. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.714 - (-4.000) = 0.286 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 0.286/2.000 = 0.143

Geometric figure: Straight Line

Slope = 0.286/2.000 = 0.143

x-intercept = 28/1 = 28.00000

y-intercept = 28/-7 = 4/-1 = -4.00000

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