Linear Standard Form X and Y intercepts

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers and A ≥ 0.

Front

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

Back

Set y = 0 and solve for x.

Front

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

Back

Set x = 0 and solve for y.

Front

What are the x- and y-intercepts of the equation 5x - 3y = 15?

Back

(3, 0) and (0, -5).

Front

Which of the following is in standard form? y = 1/2x + 2, y - 3 = -5(x + 2), -7x + 2y = 9, 3x + 2 = y

Back

-7x + 2y = 9.

Front

What is the y-intercept of the graph of 3x + 4y = 24?

Back

6.

Front

What is the formula for finding the slope of a line?

Back

Slope (m) = rise/run.

Front

What is the y-intercept of the equation 2x - 5y = 35?

Back

(0, -7).

Front

What does the term 'intercept' mean in the context of linear equations?

Back

An intercept is the point where the graph of the equation crosses the x-axis or y-axis.

Front

What is the significance of the coefficients A and B in the standard form Ax + By = C?

Back

A and B determine the slope of the line.