Front

What is the definition of the y-intercept in a graph?

Back

The y-intercept is the point where a line crosses the y-axis, indicating the value of y when x is zero.

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 represented by the value of b.

Front

What does a positive y-intercept indicate about a graph?

Back

A positive y-intercept indicates that the graph crosses the y-axis above the origin, meaning the value of y is positive when x is zero.

Front

What does a negative y-intercept indicate about a graph?

Back

A negative y-intercept indicates that the graph crosses the y-axis below the origin, meaning the value of y is negative when x is zero.

Front

If a graph has a y-intercept of -5, what does this mean?

Back

It means that the line crosses the y-axis at the point (0, -5), indicating that when x is 0, y is -5.

Front

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

Back

To determine the y-intercept from a graph, locate 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 initial values in real-world scenarios, such as starting amounts in financial contexts.

Front

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

Back

The y-intercept is 4, as it is the value of y when x is 0.

Front

How do you find the y-intercept from a table of values?

Back

To find the y-intercept from a table of values, look for the row where x is 0 and note the corresponding y value.

Front

What is the y-intercept of the equation y = -3x + 1?

Back

The y-intercept is 1, as it is the value of y when x is 0.