Question

Answer quick pls
I will give brainilest to who answer first

Answer 1

To determine the intercepts of the equation
`9x - 7y = 14`, we need to find the points where the equation intersects the
`x`-axis and the
`y`-axis.

To find the
`x`-intercept, we set
`y` to zero and solve for
`x`.

When y is zero, the equation becomes:

`9x - 7(0) = 14`

`9x = 14`

`x = 14/9`

Therefore, the
`x`-intercept is
`(14/9, 0)`.

To find the
`y`-intercept, we set
`x` to zero and solve for
`y`.

When
`x` is zero, the equation becomes:

`9(0) - 7y = 14`

`-7y = 14`

`y = 14/-7`

`y = -2`

Therefore, the
`y`-intercept is
`(0, -2)`.

In summary, the intercepts of the equation
`9x - 7y = 14` are
`(14/9, 0)` for the
`x`-intercept and
`(0, -2)` for the
`y`-intercept. These points represent where the equation crosses the
`x`-axis and the
`y`-axis, respectively.

Answer 2

`\textsf{$x$-intercept:\quad$\left(\:\boxed{(14)/(9)}\:,\:\boxed{0}\right)$}`

`\textsf{$y$-intercept:\quad$\left(\:\boxed{0}\:,\:\boxed{-2}\:\right)$}`

Explanation:

Given linear equation:

`9x-7y=14`

x-intercept

The x-intercepts of a graphed function are the points at which the line crosses the x-axis, so when y = 0.

Therefore, to find the x-intercept of the given linear equation, substitute y = 0 into the equation and solve for x:

`\begin{aligned}y=0 \implies 9x-7(0)&=14\\9x&=14\\9x / 9&=14 / 9\\x&=(14)/(9)\end{aligned}`

Therefore, the x-intercept is (14/9, 0).

y-intercept

The y-intercept of a graphed function is the point at which the line crosses the y-axis, so when x = 0.

Therefore, to find the y-intercept of the given linear equation, substitute x = 0 into the equation and solve for y:

`\begin{aligned}x=0 \implies 9(0)-7y&=14\\-7y&=14\\-7y / -7&=14 / -7\\y&=-2\end{aligned}`

Therefore, the y-intercept is (0, -2).