Question

What is the x intercept of a line with a y intercept of -1 and a slope of 1/2

Answer 1

x- 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 slope m =
`(1)/(2)` and y- intercept c = - 1 , then

y =
`(1)/(2)` x - 1 ← is the equation of the line

the x- intercept is where the line crosses the x- axis

the y- coordinate of any point on the x- axis is zero

let y = 0 in the equation and solve for x

`(1)/(2)` x - 1 = 0 ( add 1 to both sides )

`(1)/(2)` x = 1 ( multiply both sides by 2 )

2 ×
`(1)/(2)` x = 2 × 1 , then

x = 2

the x- intercept is 2 or (2, 0 ) in coordinate form