Solving Literal Equations

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables. It is often solved for one variable in terms of the others.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, which means it has a constant rate of change.

Front

How do you convert the equation of a line from standard form to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form y = mx + b, solve for y.

Front

What is the formula for the area of a triangle?

Back

The area (A) of a triangle is given by the formula: A = (b * h) / 2, where b is the base and h is the height.

Front

How do you solve for a variable in a literal equation?

Back

To solve for a variable, isolate it on one side of the equation using algebraic operations.

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 the variables.

Front

What is the formula for the slope-intercept form of a line?

Back

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

Front

How do you graph the equation y = -4?

Back

To graph y = -4, draw a horizontal line that crosses the y-axis at -4.