3. 'a' and 'b' are the intercepts made by a straight-line with the co-
ordinate axes. If 3a = b and the line
pass through the point (1, 3), find
the equation of the line.

Given:

'a' and 'b' are the intercepts made  by a straight-line with the co- ordinate axes.

3a = b and the line  pass through the point (1, 3).

To find:

The equation of the line.

Solution:

The intercept form of a line is

        ...(i)

where, a is x-intercept and b is y-intercept.

We have, 3a=b.

          ...(ii)

The line  pass through the point (1, 3). So, putting x=1 and y=3, we get

Multiply both sides by a.

The value of a is 2. So, x-intercept is 2.

Putting a=2 in , we get

The value of b is 6. So, y-intercept is 6.

Putting a=2 and b=6 in (i), we get

Therefore, the equation of the required line in intercept form is .

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step-by-step explanation:

pay attention in your classes and concentrate the best thing you can do to raise your test scores is to pay attention when you're supposed to be learning the material: in class!

take good notes.

do your homework.

use mnemonics and other tricks.

do practice tests.

note: the best i know.