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KengaRu [80]
3 years ago
5

1. Solve by graphing y = 3x – 5 y = -2x + 5

Mathematics
1 answer:
wariber [46]3 years ago
7 0

Answer:

 Slope = 0.333/2.000 = 0.167

 x-intercept = 5/-1 = -5.00000

 y-intercept = 5/6 = 0.83333

Step-by-step explanation:

Step  1  :

Equation of a Straight Line

1.1     Solve   6y-x-5  = 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  6y-x-5  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/6 so this line "cuts" the y axis at y= 0.83333

 y-intercept = 5/6  =  0.83333

Calculate the X-Intercept :

When y = 0 the value of x is 5/-1 Our line therefore "cuts" the x axis at x=-5.00000

 x-intercept = 5/-1  = -5.00000

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 0.833 and for x=2.000, the value of y is 1.167. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.167 - 0.833 = 0.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.333/2.000 =  0.167

Geometric figure: Straight Line

 Slope = 0.333/2.000 = 0.167

 x-intercept = 5/-1 = -5.00000

 y-intercept = 5/6 = 0.83333

Processing ends successfully

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