find y intercept

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, represented as (0, b) where b is the value of y when x = 0.

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

How can you determine the y-intercept from a graph?

Back

The y-intercept can be determined by locating the point where the line intersects the y-axis.

Front

What is the significance of the y-intercept in real-world applications?

Back

The y-intercept can represent the starting value or initial condition in various real-world scenarios, such as in finance or physics.

Front

If a line has a y-intercept of (0, 3), what does this mean?

Back

It means that when x = 0, the value of y is 3, indicating the point where the line crosses the y-axis.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

How can you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is the relationship between the slope and the y-intercept in a linear equation?

Back

The slope (m) indicates the steepness of the line, while the y-intercept (b) indicates where the line crosses the y-axis.