Find the equation of the line whose slope is -5-6 and x-intercept is 6-

Since, x intercept is 6, so the corresponding point on x axis is (6, 0). Slope = m = Required equation of the line is given by: y y1 = m(x x1) y 0 = (x ...

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Standard X

Mathematics

Slope of a Line

Find the equa...

Question

Find the equation of the line whose slope is $- \frac{5}{6}$ and x-intercept is 6.

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Solution

Since, x-intercept is 6, so the corresponding point on x-axis is (6, 0).

Slope = m = $fraction numerator negative 5 over denominator 6 end fraction$

Required equation of the line is given by:

y - y₁ = m(x - x₁)

y - 0 = $fraction numerator negative 5 over denominator 6 end fraction$ (x - 6)

6y = -5x + 30

5x + 6y = 30

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