FLASHCARD 3-1: Interpreting & Finding X & Y Intercepts

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, representing the value of y when x is zero.

Front

What does the x-intercept of a graph represent?

Back

The x-intercept is the point where the graph intersects the x-axis, representing the value of x when y is zero.

Front

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

Back

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

Front

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

Back

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

Front

True or False: The x-intercept of a function ALWAYS occurs where y is equal to zero.

Back

True

Front

What does the equation 3x - y = -18 represent?

Back

This is a linear equation in two variables, which can be graphed to find its x and y intercepts.

Front

Find the x-intercept from the equation: 3x - y = -18.

Back

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

Front

Find the y-intercept from the equation: 5x - 2y = 8.

Back

The y-intercept is (0, -4).

Front

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

Back

The y-intercept often represents the starting value or initial condition of a situation.

Front

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

Back

The x-intercept often represents the point at which a quantity reaches zero, such as running out of resources.