✏️CLASSWORK X and Y intercepts from Equation

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

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 x-intercept from the equation 3x + 4y = 24?

Back

Set y = 0 and solve for x: 3x + 4(0) = 24, so x = 8. The x-intercept is (8, 0).

Front

How do you find the y-intercept from the equation 2x - 5y = 35?

Back

Set x = 0 and solve for y: 2(0) - 5y = 35, so y = -7. The y-intercept is (0, -7).

Front

What are the x- and y-intercepts of the equation 3x + 4y = -12?

Back

The x-intercept is (-4, 0) and the y-intercept is (0, -3).

Front

How do you find the x-intercept of the equation 5x - 3y = 15?

Back

Set y = 0: 5x - 3(0) = 15, so x = 3. The x-intercept is (3, 0).

Front

How do you find the y-intercept of the equation 5x - 3y = 15?

Back

Set x = 0: 5(0) - 3y = 15, so y = -5. 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 linear equation has no x-intercept?

Back

It means the line is parallel to the x-axis and does not cross it.

Front

What does it mean if a linear equation has no y-intercept?

Back

It means the line is parallel to the y-axis and does not cross it.