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saw5 [17]
2 years ago
9

4x+y=10 missing value

Mathematics
2 answers:
hoa [83]2 years ago
6 0

Answer:

Step-by-step explanation:

Set each axis to 0

4(0)+y=10

y=10

4x+0=10

divide the equation by 4

x=2.5

if both axis' need to be the same number, they are equal to 2

vovangra [49]2 years ago
5 0

Answer:

Step-by-step explanation:

4x+y-10  = 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  4x+y-10  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 10/1 so this line "cuts" the y axis at y=10.00000

 y-intercept = 10/1  = 10.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 5/2 Our line therefore "cuts" the x axis at x= 2.50000

 x-intercept = 10/4 = 5/2  =  2.50000  

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 10.000 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 10.000 = -8.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -8.000/2.000 = -4.000  

Geometric figure: Straight Line

 Slope = -8.000/2.000 = -4.000

 x-intercept = 10/4 = 5/2 = 2.50000

 y-intercept = 10/1 = 10.00000

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