Question

What is the equation of the line that passes through (4 , 0 ) and parallel to the line x - y - 2 = 0

Answer 1

Answer:

Let the equation of the line be y=mx+c

The line is parallel to x−y−2=0

Thus, the slope of both the lines are equal.

Slope of line x−y−2=0

=>−y=−x+2

=>y=x−2

Thus slope of the line is 1

∴m=1

The line y=mx+c passes through (4,0)

Thus,

0=4m+c

=>c=−4

Thus, equation of the line is y=x−4

=>y−x+4=0

Step-by-step explanation:

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