Question

In the xy-coordinate plane, a line has a slope of −5/3. If the line crosses the y-axis at (0, b), at what point does it cross the x-axis?

Answer 1

( b, 0 )

Explanation:

Answer 2

(
`(3)/(5)` b, 0 )

Explanation:

The equation of a line in slope- intercept form is

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

Here m = -
`(5)/(3)` and b = b , thus

y= -
`(5)/(3)` x + b ← equation of line

The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is

-
`(5)/(3)` x + b = 0 ( multiply through by 3 to clear the fraction )

- 5x + 3b = 0 ( subtract 3b from both sides )

- 5x = - 3b ( divide both sides by - 5 )

x =
`(3)/(5)` b , thus

x- intercept = (
`(3)/(5)` b, 0 )