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.

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 is the x-intercept of the equation 3x + 8y = 24?

Back

(8, 0)

Front

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

Back

8

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 is the y-intercept of the equation 4x - 5y = 40?

Back

-8

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

Convert the equation 9x - 7y = -7 to slope-intercept form.

Back

y = 9/7x + 1

Front

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

Back

y = 1/3x - 2

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.