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How to solve intercepts of linear functions

How to solve intercepts of linear functions-example-1

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Answer:

- X-Intercept:
\sf (2, 0)

- Y-Intercept:
\sf (0, 1)

Explanation:

To find the intercepts of the linear function
\sf x + 2y = 2, we'll determine both the x-intercept and the y-intercept.

X-Intercept:

The x-intercept is the point where the graph intersects the x-axis, meaning that
\sf y = 0. To find the x-intercept, set
\sf y = 0 and solve for
\sf x.


\sf x + 2(0) = 2

Solving for
\sf x:


\sf x = 2

So, the x-intercept is
\sf (2, 0).

Y-Intercept:

The y-intercept is the point where the graph intersects the y-axis, meaning that
\sf x = 0. To find the y-intercept, set
\sf x = 0 and solve for
\sf y.


\sf 0 + 2y = 2

Solving for
\sf y:


\sf 2y = 2 \implies y = 1

So, the y-intercept is
\sf (0, 1).

User Joe Fletcher
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