# Find the equation of the line whose X-intercept is 3 and which is perpendicular to the line 3x − y + 23 = 0 - Mathematics and Statistics

Sum

Find the equation of the line whose X-intercept is 3 and which is perpendicular to the line 3x − y + 23 = 0

#### Solution

Slope of the line 3x − y + 23 = 0 is (-3)/(-1) = 3.

Since the required line is perpendicular to this line, the slope of the line is -1/3.

Since x-intercept of the line is 3, the line is passing through the point (3, 0).

∴ equation of the required line is

y − 0 = -1/3(x - 3)

∴ 3y = − x + 3

∴ x + 3y = 3

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