Write an equation of the line that passes through $\left(18,\ 2\right)$ and is parallel to the line $3y-x=-12$ .

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02-12-2021
Mathematics

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Write an equation of the line that passes through $\left(18,\ 2\right)$ and is parallel to the line $3y-x=-12$ .

Sagot :

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adioabiola adioabiola · Answer 1 · 2021-12-07T03:23:02-05:00

The equation of the line which is parallel to the line given is; 3y -x = -12

The slope of the line 3y-x=-12 can be evaluated by rearranging the equation to resemble the slope-intercept form of a linear equation as follows;

y = (1/3)x -12

The slope of the line is therefore; 1/3;

However, the line parallel to it also has slope; 1/3.

Therefore, the equation of the line as requested is;

1/3 = (y -2)/(x -18)

By Cross-product;

3y -6 = x -18

The equation of the line is therefore;

3y -x = -12.

Sagot :

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