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Chapter 2: Q3. (page 65)

Write an equation of a line with an x-intercept of 2.

Short Answer

Expert verified

One of the required equation is y=x-2.

Step by step solution

01

– Equation of line.

The graph of linear equation is always a straight line. The slope intercept form of a linear equation is:

y=mx+b 鈥�(颈)

Where m is the slope and b is the y-intercept.

02

– Given information.

The x-intercept of the required line is 2. It means the line passes through the point 2,0.

03

– Write a linear equation.

Substitute x=2,y=0in (i).

0=m(2)+b鈭�b=2m

Let m=1, then

鈭�b=2(1)鈭�b=2b=鈭�2

Substitute m=1,b=-2in (i).

y=(1)x+(鈭�2)y=x鈭�2

Thus, one of the required equation is y=x-2.

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