find y intercept

Front

What is the definition of the y-intercept?

Back

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

Front

How can you find the y-intercept from a linear equation in slope-intercept form?

Back

In the slope-intercept form of a linear equation, y = mx + b, the y-intercept is the value of b.

Front

What does the point (0, 5) represent in the context of a graph?

Back

The point (0, 5) represents the y-intercept of a line, indicating that the line crosses the y-axis at y = 5.

Front

If a line has a y-intercept of (0, 3), what is the value of b in the equation y = mx + b?

Back

The value of b is 3.

Front

What is the significance of the slope in relation to the y-intercept?

Back

The slope indicates the steepness and direction of the line, while the y-intercept indicates where the line crosses the y-axis.

Front

How can you determine if a slope is positive or negative from a graph?

Back

A positive slope rises from left to right, while a negative slope falls from left to right.

Front

What is the y-intercept of the line represented by the equation y = -2x + 4?

Back

The y-intercept is (0, 4).

Front

How do you find the y-intercept from a standard form equation Ax + By = C?

Back

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

Front

What does a negative slope indicate about a line's direction?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

If a line crosses the y-axis at (0, -1), what is the y-intercept?

Back

The y-intercept is -1.