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Ksivusya [100]
3 years ago
14

8

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer:

The required equation of the line is y = [x]+2

Step-by-step explanation:

From the graph shown, we can see that the line dotted points forms a straight line. We are to find the required equation of the line formed.

The formula for calculating the equation of a straight line is expressed as y = mx+b where

m is the slope b is the y-intercept

<u>Get the slope 'm'</u>

m=\frac{y_2-y_1}{x_2-x_1}

Using the coordinate points (2, 0) and (4, 2)

m=\frac{2-0}{4-2}\\m=\frac{2}{2}\\m=1

<u>Get the y-intercept 'b'</u>

Substitute m = 1 and (2, 0) into y = mx+b as shown;

2=1(0)+b\\2=0+b\\b=2

Get the required equation. Recall that y = mx+b, hence;

y = 1x + 2\\y=x+2

The expression can also be written as  y = [x]+2

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Law of cosines :

The law of cosines establishes:

c ^ 2 = a ^ 2 + b ^ 2 - 2*a*b*cosC.

general guidelines:

The law of cosines is used to find the missing parts of an oblique triangle (not rectangle) when either the two-sided measurements and the included angle measure are known (SAS) or the lengths of the three sides (SSS) are known.


Law of the sines:


In ΔABC is an oblique triangle with sides a, b, and c, then:

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