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Answer quick pls I will give brainilest to who answer first-example-1
User Kez
by
8.4k points

2 Answers

4 votes

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.

User Onyilimba
by
8.6k points
4 votes

Answer:


\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).

User Vishal Suthar
by
8.0k points

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