X and Y intercepts

Front

What is the y-intercept of 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 x-intercept of a linear equation?

Back

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

Front

What are the coordinates of the y-intercept in a graph?

Back

The coordinates of the y-intercept are (0, b), where b is the y-intercept value.

Front

What is the x-intercept of the equation 4x - 10y = 20?

Back

The x-intercept is 5, found by setting y = 0 and solving for x.

Front

What is the significance of the x-intercept in a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating the value of x when y = 0.

Front

What does the term 'intercept' refer to in graphing?

Back

An intercept refers to the points where a line crosses the x-axis (x-intercept) or y-axis (y-intercept).

Front

How can you determine both x and y intercepts from the equation 4x - 10y = 20?

Back

Set y = 0 to find the x-intercept and set x = 0 to find the y-intercept.

Front

What is the y-intercept of the equation y = 4x - 12?

Back

The y-intercept is -12, which is the value of y when x = 0.

Front

What is the relationship between the slope and intercepts in a linear equation?

Back

The slope indicates the steepness of the line, while the intercepts indicate where the line crosses the axes.

Front

What does the ordered pair (0, 4) represent on a graph?

Back

The ordered pair (0, 4) represents a y-intercept, where the line crosses the y-axis at y = 4.