Question

8
6
4
2
6
8
-8 -6 -4 -2 0-3
21
.
-6
-8
O A. y -[x]-2
OB. y -[x]+3
O C. y = (x) - 3
O D. y = [x]+2

Answer 1

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

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

Get the slope 'm'

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

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

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

Get the y-intercept 'b'

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;

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

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

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