How do you find the x-intercept of the equation $$2x + 3y = 12$$ ?

Set y = 0. The equation becomes $$2x = 12$$ , so $$x = 6$$ . The x-intercept is (6, 0).

How do you find the y-intercept of the equation $$2x + 3y = 12$$ ?

Set x = 0. The equation becomes $$3y = 12$$ , so $$y = 4$$ . The y-intercept is (0, 4).

How do you convert from slope-intercept form to standard form?

Rearrange the equation $$y = mx + b$$ to the form $$Ax + By = C$$ by moving terms.

What is the significance of the coefficients in the equation $$-4x + 3y = 24$$ ?

The coefficient of x (-4) is the slope, and the coefficient of y (3) indicates how y changes with x.

What does it mean if two lines are parallel?

Two lines are parallel if they have the same slope but different y-intercepts.

What does it mean if two lines are perpendicular?

Two lines are perpendicular if the product of their slopes is -1.

How can you determine if a point lies on a line represented by an equation?

Substitute the x and y coordinates of the point into the equation. If the equation holds true, the point lies on the line.

What is the graphical representation of the equation $$y = \frac{4}{7}x + 2$$ ?

This equation represents a line with a slope of $$\frac{4}{7}$$ and a y-intercept of (0, 2).

How do you identify the equation of a line from a graph?

Identify the slope and y-intercept from the graph, then use the slope-intercept form to write the equation.

What is the relationship between the x-intercept and the y-intercept in a linear equation?

The x-intercept and y-intercept are points where the line crosses the axes, and they can be used to graph the line.

Graphs of Linear Equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning the y-coordinate is zero.

2.

FLASHCARD QUESTION

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, meaning the x-coordinate is zero.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

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