Question

What is the x-intercept of the line whose equation is x/3 + y/2 = 1

Answer 1

y- intercept = 2

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

`(x)/(3)` +
`(y)/(2)` = 1

Multiply through by 6 to clear the fractions

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide all terms by 3 )

y = -
`(2)/(3)` x + 2 ← in slope- intercept form

with y- intercept c = 2