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Graph Intercept Concepts

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Questions and Answers

What is the x-intercept of a line?

The place where the line crosses the y-axis

The place where the line crosses the x-axis

The place where x = 1

The place where y = 0 (correct)

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

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

By finding where the line crosses the x-axis

By locating where y = 1

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

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

The point where x = 0 (correct)

The point where y = -1

The intersection with the y-axis

The highest point of the line

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

To locate where the line intersects with the y-axis Signup and view all the answers

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

To locate where the line crosses the x-axis Signup and view all the answers

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

(6, 0) Signup and view all the answers

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

(0, 6) Signup and view all the answers

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

(3, 2) Signup and view all the answers

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

It doesn't exist. Signup and view all the answers

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

$(-2, 0)$ Signup and view all the answers