What is the x-intercept of the equation $$y=4x-2$$ ?

The x-intercept is the point where the graph crosses the x-axis. For the equation $$y=4x-2$$ , set $$y=0$$ and solve for $$x$$ : 0 = 4x - 2 => 4x = 2 => x = $$\frac{1}{2}$$ . Thus, the x-intercept is $$\left(\frac{1}{2}, 0\right)$$ .

Identify the y-intercept of the equation $$y=x$$ .

The y-intercept is the point where the graph crosses the y-axis. For the equation $$y=x$$ , set $$x=0$$ and solve for $$y$$ : $$y=0$$ . Thus, the y-intercept is $$\left(0, 0\right)$$ .

Find the x-intercept of the equation $$3x + 8y = 24$$ .

To find the x-intercept, set $$y=0$$ and solve for $$x$$ : 3x + 8(0) = 24 => 3x = 24 => x = 8. Thus, the x-intercept is $$\left(8, 0\right)$$ .

How do you find the x-intercept of a linear equation?

To find the x-intercept of a linear equation, set $$y=0$$ and solve for $$x$$ .

How do you find the y-intercept of a linear equation?

To find the y-intercept of a linear equation, set $$x=0$$ and solve for $$y$$ .

What is the significance of intercepts in graphing?

Intercepts help identify key points on the graph, making it easier to sketch the line and understand the relationship between variables.

If a line has an x-intercept of 3, what does this mean?

An x-intercept of 3 means that the line crosses the x-axis at the point $$\left(3, 0\right)$$ .

If a line has a y-intercept of -2, what does this mean?

A y-intercept of -2 means that the line crosses the y-axis at the point $$\left(0, -2\right)$$ .

What is the slope-intercept form of a linear equation?

The slope-intercept form is $$y=mx+b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

How can you determine if a point is an intercept?

A point is an intercept if it has either an x-coordinate of 0 (for y-intercept) or a y-coordinate of 0 (for x-intercept).

What does the graph of a linear equation look like?

The graph of a linear equation is a straight line that can be determined by its slope and intercepts.

(MCA) 4.2 (Flashcard) Graphing using x and y intercepts. Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

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2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

What is the y-intercept for a graph that crosses the y-axis at -1?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Which ordered pair could represent a y-intercept on a graph?

Back

6.

FLASHCARD QUESTION

Front

Define x-intercept.

Back

The x-intercept is the point where a graph intersects the x-axis, meaning the value of y is zero at that point.

7.

FLASHCARD QUESTION

Front

Define y-intercept.

Back

The y-intercept is the point where a graph intersects the y-axis, meaning the value of x is zero at that point.

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