X and Y Intercepts

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, meaning the value of y is 0.

Front

How do you find the x-intercept of the equation 3x + 6y = 24?

Back

Set y = 0: 3x + 6(0) = 24, which simplifies to x = 8. So, the x-intercept is (8, 0).

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, meaning the value of x is 0.

Front

How do you find the y-intercept of the equation -x + 5y = 45?

Back

Set x = 0: -0 + 5y = 45, which simplifies to y = 9. So, the y-intercept is (0, 9).

Front

What does the equation y = 5 represent?

Back

It represents a horizontal line where the value of y is always 5, regardless of x.

Front

How do you find the x-intercept of the equation 5x + 10y = 20?

Back

Set y = 0: 5x + 10(0) = 20, which simplifies to x = 2. So, the x-intercept is (2, 0).

Front

What is the y-intercept of the equation 5x - 3y = 15?

Back

Set x = 0: 5(0) - 3y = 15, which simplifies to y = -5. So, the y-intercept is (0, -5).

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope and can be represented by an equation of the form x = a, where 'a' is a constant.

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0 and can be represented by an equation of the form y = b, where 'b' is a constant.