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

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 is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

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

Front

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

Back

y = (2/3)x - 2.

Front

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

Back

The x-intercept is (3, 0) and the y-intercept is (0, -5).

Front

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

Back

The y-intercept is (0, -7).

Front

What does the term 'intercept' mean in the context of a graph?

Back

An intercept is a point where a line crosses an axis. The x-intercept is where the line crosses the x-axis, and the y-intercept is where it crosses the y-axis.

Front

How do you determine the slope from an equation in standard form?

Back

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