Flashcard 2 Finding x and y intercepts from equation

Front

What is the definition of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, which occurs when x = 0.

Front

How do you find the y-intercept from the equation x - 4y = 8?

Back

To find the y-intercept, set x = 0. The equation becomes -4y = 8, so y = -2.

Front

What is the definition of the x-intercept in a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, which occurs when y = 0.

Front

How do you find the x-intercept from the equation y + 8 = 2x?

Back

To find the x-intercept, set y = 0. The equation becomes 8 = 2x, so x = 4.

Front

What is the general form of a linear equation?

Back

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

Front

How do you convert the equation 4y = 12 + 6x to slope-intercept form?

Back

Rearranging gives y = (3/2)x + 3, which is in the form y = mx + b.

Front

What is slope-intercept form of a linear equation?

Back

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

Front

How do you find the x-intercept from the equation x - 4y = 8?

Back

To find the x-intercept, set y = 0. The equation becomes x = 8.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients determine the slope and the position of the line in the coordinate plane.

Front

How can you determine if a point is an intercept?

Back

A point is an intercept if it lies on the x-axis (y=0) or y-axis (x=0).