X and Y Intercepts

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, meaning the value of y is 0.

Front

How do you find the x-intercept of the equation 5x + 4y = 20?

Back

Set y = 0 and solve for x: 5x + 4(0) = 20, which gives x = 4.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, meaning the value of x is 0.

Front

How do you find the y-intercept of the equation 5x + 4y = 20?

Back

Set x = 0 and solve for y: 5(0) + 4y = 20, which gives y = 5.

Front

What does the point (2, 0) represent on a graph?

Back

It represents the x-intercept of the graph, where the line crosses the x-axis.

Front

What does the point (0, 3) represent on a graph?

Back

It represents the y-intercept of the graph, where the line crosses the y-axis.

Front

Identify the x-intercept from the point (-4, 0).

Back

The x-intercept is -4, where the graph crosses the x-axis.

Front

Identify the y-intercept from the point (0, -2).

Back

The y-intercept is -2, where the graph crosses the y-axis.

Front

What is the significance of the x-intercept in a real-world context?

Back

The x-intercept can represent a point where a quantity reaches zero, such as the break-even point in business.

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept can represent the initial value of a quantity before any changes occur.