WU 2.5E: Linear Key Features A.3C

Front

What are the x- and y-intercepts on a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, and the y-intercept is the point where the graph crosses the y-axis. For example, (5,0) is the x-intercept and (0,5) is the y-intercept.

Front

How do you find the y-intercept of a line from its equation?

Back

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

Front

What is the y-intercept of the line y = 5x - 8?

Back

The y-intercept is (0, -8), which is found by setting x = 0 in the equation.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, found by setting y = 0 in the equation of the line.

Front

How do you find the x-intercept of the line y = 5x - 8?

Back

Set y = 0: 0 = 5x - 8, which gives x = 8/5 or (8/5, 0) as the x-intercept.

Front

What is the zero of a line?

Back

The zero of a line is the x-value where the line crosses the x-axis, also known as the x-intercept.

Front

How do you determine the x-intercept from a graph?

Back

Look for the point where the graph intersects the x-axis; this point's coordinates will be in the form (x, 0).

Front

What does the point (0, -1) represent on a graph?

Back

The point (0, -1) represents the y-intercept of the line, indicating where the line crosses the y-axis.

Front

What is the significance of the intercepts in a linear equation?

Back

Intercepts provide key points that help graph the line and understand its behavior in relation to the axes.

Front

How can you verify the intercepts of a linear equation?

Back

Substitute x = 0 to find the y-intercept and y = 0 to find the x-intercept in the equation.