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Graph Intercept Concepts

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What is the x-intercept of a line?

The place where y = 0

How can you find the y-intercept of a line?

By setting x = 0 in the equation and solving for y

What does the x-intercept represent geometrically on a graph?

The point where x = 0

When determining the y-intercept, why is it necessary to set x = 0?

To locate where the line intersects with the y-axis

In finding the x-intercept, why is it crucial to make y = 0?

To locate where the line crosses the x-axis

What is the x-intercept of the line represented by the equation $2x + 3y = 12$?

(6, 0)

For the equation $y = 3x + 6$, what is the y-intercept?

(0, 6)

Which point lies on the line represented by $2x + 3y = 12$?

(3, 2)

For the line $y = 2$, what is true about its x-intercept?

It doesn't exist.

If you want to determine the x-intercept of a line, what value should you substitute into the equation?

$(-2, 0)$

Learn about intercepts in terms of graphs, specifically x-intercepts and y-intercepts. Understand how to determine the points where a graph intersects the x-axis and y-axis.

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