Unit 1 slope, key features, DR, solve equ, functions

Front

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

Back

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Front

What does it mean if a linear equation has no solution?

Back

It means that the lines represented by the equations are parallel and will never intersect.

Front

How do you solve the equation 3(x - 1) = 2x + 9?

Back

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the difference between a function and a relation?

Back

A relation can have multiple outputs for a single input, while a function cannot.

Front

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is the point where the line crosses the y-axis, which is (0, 5) in this case.

Front

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

Back

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

What does the term 'discrete relation' mean?

Back

A discrete relation consists of distinct, separate points, often represented as ordered pairs.