Standard Form

Front

What is Standard Form in mathematics?

Back

Standard Form is a way of writing numbers or equations in a specific format. For linear equations, it is typically written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from a linear equation in standard form?

Back

To find the slope (m) from the standard form Ax + By = C, rearrange the equation to slope-intercept form (y = mx + b) and identify m.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

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

What does it mean for an equation to be in standard form?

Back

An equation is in standard form if it is expressed as Ax + By = C, where A, B, and C are integers, and A is non-negative.

Front

Convert the equation 2x + 3y = 6 to slope-intercept form.

Back

y = -rac{2}{3}x + 2.

Front

What is the slope of the line represented by the equation 4x - 2y = 8?

Back

The slope is 2.

Front

Identify the standard form of the equation: y = 5x + 3.

Back

The standard form is -5x + y = 3.

Front

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

Back

A and B determine the slope of the line and its orientation in the coordinate plane.