Question

Equation of a line whose x-intercept and y-intercept are 4 and 3 respectively, is ______.

Options

• 3x + 4y = 12

• 4x + 3y = 12

• 3x + 4y = 1

• 4x + 3y = 1

Answer 1

Equation of a line whose x-intercept and y-intercept are 4 and 3, respectively, is 3x + 4y = 12.

Explanation:

Using the intercept form:

The equation of a line with x-intercept a and y-intercept b is,

`x/a + y/b = 11`

Substitute the give values, a = 4 and b = 3,

`x/4 + y/3 = 1`

Multiply the entire equation by the LCM of 4 and 3, which is 12, to remove the fractions:

`12(x/4) + 12(y/3) = 12(1)`

3x + 4y = 12