X & Y Intercepts and Standard Form

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

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

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 are the x- and y-intercepts of the equation 2x + 3y = 6?

Back

The x-intercept is (3, 0) and the y-intercept is (0, 2).

Front

Rewrite the equation 4x - 2y = 8 in standard form.

Back

The standard form is 4x - 2y = 8.

Front

What does the x-intercept represent on a graph?

Back

The x-intercept represents the point where the graph crosses the x-axis.

Front

What does the y-intercept represent on a graph?

Back

The y-intercept represents the point where the graph crosses the y-axis.

Front

If the equation of a line is given as y = 2x + 3, what is the y-intercept?

Back

The y-intercept is (0, 3).

Front

Convert the equation y = -x + 5 to standard form.

Back

The standard form is x + y = 5.

Front

What is the significance of the coefficients in the standard form of a linear equation?

Back

The coefficients A and B indicate the slope and direction of the line.