Standard Form

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 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

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What are intercepts in the context of linear equations?

Back

Intercepts are points where the line crosses the x-axis (x-intercept) and y-axis (y-intercept).

Front

How can you convert from standard form to slope-intercept form?

Back

To convert, solve for y in terms of x to get it into the form y = mx + b.

Front

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

Back

A and B determine the slope of the line, while C represents the point where the line intersects the axes.

Front

Can a linear equation have no x-intercept or y-intercept?

Back

Yes, a vertical line has no x-intercept, and a horizontal line has no y-intercept.

Front

What is the relationship between standard form and graphing a linear equation?

Back

Standard form can be used to easily find intercepts, which can then be plotted to graph the equation.