Y-Intercept

Front

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

Back

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

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 y-intercept represent in a real-world context?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero, often indicating a starting point or initial condition.

Front

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

Back

To find the y-intercept from a graph, locate the point where the line intersects the y-axis.

Front

If a line has a y-intercept of 4, what does this mean?

Back

It means that the line crosses the y-axis at the point (0, 4), indicating that when the independent variable (x) is 0, the dependent variable (y) is 4.

Front

What is the y-intercept of the equation y = 2x + 3?

Back

The y-intercept is 3, which corresponds to the point (0, 3) on the graph.

Front

In the equation y = -x - 3, what is the y-intercept?

Back

The y-intercept is -3, represented by the point (0, -3) on the graph.

Front

How can you find the y-intercept from two points on a line?

Back

To find the y-intercept from two points, use the slope formula to find the equation of the line, then solve for y when x = 0.

Front

What is the significance of a y-intercept of 0?

Back

A y-intercept of 0 indicates that the line passes through the origin (0, 0), meaning the dependent variable is zero when the independent variable is zero.

Front

If a line has a negative slope, how does it affect the y-intercept?

Back

The slope does not affect the y-intercept directly; however, a negative slope indicates that as x increases, y decreases, which can influence the position of the y-intercept.