Standard Form Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form Ax + By = C, where A, B, and C are constants.

Front

What is 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 a linear 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 a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What are intercepts in a linear equation?

Back

Intercepts are points where the graph of the equation crosses the x-axis (x-intercept) and y-axis (y-intercept).

Front

What is the x-intercept of the equation x + 4y = 7?

Back

(7, 0) - Set y = 0 and solve for x.

Front

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

Back

(-2, 0) and (0, -2) - Set y = 0 for x-intercept and x = 0 for y-intercept.

Front

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

Back

(0, -7) - 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) - Set y = 0 for x-intercept and x = 0 for y-intercept.

Front

Which of the following is in standard form: y=3x-5, 3x+16=5y, 2/3 x + 9/13 y = 21, 5x+7y=-12?

Back

5x + 7y = -12 - This is in standard form.