Standard Form & Intercepts

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is an x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, represented as (a, 0).

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b).

Front

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

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

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

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the significance of the intercepts in a graph?

Back

Intercepts help identify where the line crosses the axes, providing key points for graphing.

Front

If a line has an x-intercept of (3, 0), what does this indicate?

Back

It indicates that the line crosses the x-axis at x = 3.

Front

If a line has a y-intercept of (0, -4), what does this indicate?

Back

It indicates that the line crosses the y-axis at y = -4.

Front

What is the relationship between the slope and intercepts in a linear equation?

Back

The slope indicates the steepness of the line, while the intercepts show where the line crosses the axes.

Front

How can you determine if a point is an x-intercept?

Back

A point is an x-intercept if its y-coordinate is 0.