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 and B are not both zero.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis. At this point, the value of y is 0.

Front

How do you find the y-intercept of a linear equation?

Back

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

Front

What does the equation 2x + 4y = 12 represent?

Back

This equation represents a straight line on a graph. It can be rearranged to find the slope and y-intercept.

Front

What is the slope-intercept form of a line?

Back

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

Front

How do you convert an equation from Standard Form to Slope-Intercept Form?

Back

To convert, solve for y in terms of x. For example, from Ax + By = C to y = (-A/B)x + (C/B).

Front

What is the significance of the coefficients in Standard Form?

Back

The coefficients A and B determine the slope of the line, while C represents the point where the line intersects the y-axis.

Front

What is the y-intercept of the equation 4x + 2y = -12?

Back

The y-intercept is -6, found by setting x to 0 and solving for y.

Front

How can you graph a linear equation in Standard Form?

Back

To graph, find the x-intercept and y-intercept, plot these points, and draw a line through them.

Front

What is the relationship between the x-intercept and y-intercept?

Back

The x-intercept is where the line crosses the x-axis, while the y-intercept is where it crosses the y-axis. Both are key points for graphing.