Question

Find the x-intercept of the line with equation y=6x +1

Answer 1

`x = (1)/(6)y-(1)/(6)`

Explanation:

Find the x-intercept of the line with equation y=6x +1

y = 6x + 1, solve for x

y = 6x + 1 subtract 6x from both sides:

y - 6x = 6x + 1 - 6x

y - 6x = 1

subtract y from both sides:

y - 6x - y = 1 - y

- 6x = 1 - y

divide both sides by -6:

- 6x/-6 = (1 - y)/-6

x = -1/6 + 1/6 y

rearrange left side:

`x = (1)/(6)y-(1)/(6)`

Answer 2

x = -
`(1)/(6)`

Explanation:

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

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

let y = 0 in the equation and solve for x

y = 6x + 1 , then

0 = 6x + 1 ( subtract 1 from both sides )

- 1 = 6x ( divide both sides by 6 )

-
`(1)/(6)` = x ← is the x- intercept