Identifying Y-intercept(Graphs)

Front

What is the y-intercept in a graph?

Back

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

Front

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

Back

To find the y-intercept from a linear equation in the form y = mx + b, set x to 0. The value of y when x is 0 is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

If a line has a slope of -1, what does that indicate about its direction?

Back

A slope of -1 indicates that for every unit increase in x, y decreases by 1 unit, resulting in a downward slant from left to right.

Front

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

Back

The y-intercept can represent the starting value of a situation in real-world contexts, such as initial costs or starting quantities.

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 y-intercept of the equation y = 3x + 4?

Back

The y-intercept is 4, which means the line crosses the y-axis at the point (0, 4).

Front

What is the y-intercept of the equation y = -2x - 6?

Back

The y-intercept is -6, meaning the line crosses the y-axis at the point (0, -6).

Front

If a line crosses the y-axis at (0, 2), what is the y-intercept?

Back

The y-intercept is 2.

Front

What is the y-intercept of the equation y = 5?

Back

The y-intercept is 5, which means the line is horizontal and crosses the y-axis at (0, 5).