Question

Y-6=4(x+5) what is y and x intercept?

Answer 1

x =
`(-(13)/(2) ,0)` y = (0,26)

Explanation:

First find the x intercept

To find the x intercept, substitute 0 for y and solve for x.

`(0)-6=4(x+5)`

Rewrite the equation as
`4(x+5)=(0)-6`

`4(x+5)=(0)-6`

Subtract 6 from 0.

`4(x+5)=-6`

Divide each term in
`4(x+5)=-6` by 4.

`(4(x+5))/(4) =(-6)/(4)`

Cancel the common factor of 4.

`x+5=(-6)/(4)`

Simplify
`(-6)/(4)`

`x+5=-(3)/(2)`

Subtract 5 from both sides of the equation.

`x=-(3)/(2) -5`

To write
`-5` as a fraction with a common denominator, multiply by
`(2)/(2)`

`x=-(3)/(2)-5` ·
`(2)/(2)`

Combine
`-5` and
`(2)/(2)`.

`x=-(3)/(2) +(-5*2)/(2)`

Combine the numerators over the common denominator.

`x=(-3-5*2)/(2)`

Simplify the numerator.

`x=(-13)/(2)`

Move the negative in front of the fraction.

`x=-(13)/(2)`

x =
`(-(13)/(2) ,0)`

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Find the y-intercepts.

To find the y-intercept(s), substitute in 0 for x and solve for y.

`y-6=4((0)+5)`

Add 0 and 5.

`y-6=4 *5`

Multiply 4 by 5.

`y-6=20`

Add 6 to both sides of the equation.

`y=20+6`

Add 20 and 6.

`y=26`

y = (0, 26)