Front

What is the general form of a linear equation in two variables?

Back

The general form of a linear equation in two variables is Ax + By = C, where A, B, and C are constants.

Front

How do you solve for y in the equation x - 5y = 20?

Back

To solve for y, rearrange the equation to isolate y: y = (1/5)x - 4.

Front

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

Back

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

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 does the x-axis represent in a Cartesian coordinate system?

Back

The x-axis represents the horizontal number line in a Cartesian coordinate system.

Front

How do you solve for y in the equation 4x + 3y = 9?

Back

To solve for y, rearrange the equation: y = (-4/3)x + 3.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y.

Front

How do you convert the equation 5x - y = 6 into slope-intercept form?

Back

Rearrange to y = 5x - 6 to express it in slope-intercept form.

Front

What is a point in the Cartesian coordinate system?

Back

A point is represented by an ordered pair (x, y) that indicates its position on the plane.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).