Question

The x and y intercept

Answer 1

Explanation:

X-INTERCEPT

Plug y=0 into the equation and solve the resulting equation −6x=−7 for x.

The x-intercept:

`\left((7)/(6),0\right)\approx \left(1.16666666666667,0\right)`

Y-INTERCEPT

Plug x=0 into the equation and solve the resulting equation 3y=−7 for y.

The y-intercept:

`\left(0, - (7)/(3)\right)\approx \left(0,-2.33333333333333\right)`

Answer 2

`x`-intercept = (
`-(7)/(6)` , 0)

`y`-intercept = (0 ,
`-(7)/(3)`)

Explanation:

`6x + 3y = -7`

• The x-intercept is the point at which the line crosses the x-axis, that is, where y = 0.

∴
`6x + 3(0) = -7`

⇒
`6x = -7`

⇒
`x = \bf -(7)/(6)`

∴ The x-intercept is at the point (
`-(7)/(6)` , 0).

• Similarly, the y-intercept is the point at which the line crosses the y-axis, that is, where x = 0.

∴
`6(0) + 3y = -7`

⇒
`3y = -7`

⇒
`y = \bf - (7)/(3)`

∴ The y-intercept is at the point (0 ,
`-(7)/(3)`).