Y-Intercept: equations, graphs, tables

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by the constant b in the equation.

Front

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

Back

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

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

In the equation y = 3/2x + 3, what is the slope?

Back

The slope is 3/2.

Front

In the equation y = 3/2x + 3, what is the y-intercept?

Back

The y-intercept is (0, 3).

Front

What is the y-intercept of the equation y = -5x + 1?

Back

The y-intercept is 1.

Front

What is the y-intercept of the equation y = 1/3x - 2?

Back

The y-intercept is -2.

Front

How can you represent the y-intercept on a graph?

Back

The y-intercept can be represented as the point where the line crosses the y-axis, typically written as (0, b).

Front

What is the y-intercept of the graph represented by the point (0, -2)?

Back

The y-intercept is -2.

Front

If a line has a slope of 0, what can you say about its y-intercept?

Back

If the slope is 0, the line is horizontal and the y-intercept is the constant value of y for all x.