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Two lines have the same non-zero $y$-intercept. The first line has a slope of 10 and an $x$-intercept of $(s, 0)$. The second line has a slope of 6 and an $x$-intercept of $(t, 0)$. What is the ratio of $s $ to $t$? Express your answer as a common fraction.

Respuesta :

Answer:

t / s = 5 / 4

Explanation:

The intercept form of st line is

x / a + y/b =1 where a and b are intercept on x and y axis respectively

Let common y intercept be b.

For first line

a = s ,

x / s + y / b = 1

y / b = - x / s + 1

y = - b / s x + b

Slope of the line given is 10 so

- b / s = 10

Similarly we can write , for second line

- b / t = 8

Dividing them

t /s = 10 / 8

t / s = 5 / 4

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