x & y intercepts

Front

What is the definition of the y-intercept?

Back

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

Front

How do you find the y-intercept of an equation?

Back

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

Front

What is the definition of the x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, represented as (x, 0).

Front

How do you find the x-intercept of an equation?

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

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

Front

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

Back

The y-intercept indicates the value of y when x is zero, providing a starting point for the graph.

Front

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

Back

The x-intercept indicates the value of x when y is zero, showing where the graph crosses the x-axis.

Front

Given the equation -3x + 2y = -24, find the x-intercept.

Back

The x-intercept is (8, 0).

Front

Given the equation 9x + 3y = -18, find the y-intercept.

Back

The y-intercept is (0, -6).