x and y intercepts

Front

What is an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis. At this point, the value of y is 0.

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph crosses the y-axis. At this point, the value of x is 0.

Front

How do you find the x-intercept of a linear equation?

Back

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

Front

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

Back

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

Front

What is the significance of the point (0,0) in relation to intercepts?

Back

The point (0,0) is the origin and can be both an x-intercept and a y-intercept if the graph crosses the axes at this point.

Front

Given the equation y = 2x + 4, what is the y-intercept?

Back

The y-intercept is 4, which occurs when x = 0.

Front

Given the equation y = -3x + 6, what is the x-intercept?

Back

The x-intercept is 2, which occurs when y = 0.

Front

What does the slope of a line represent in relation to intercepts?

Back

The slope indicates the steepness of the line and how much y changes for a change in x, affecting the position of the intercepts.

Front

If a line has an x-intercept of -3, what does this mean?

Back

It means the line crosses the x-axis at the point (-3, 0).

Front

If a line has a y-intercept of 5, what does this mean?

Back

It means the line crosses the y-axis at the point (0, 5).