Unit 4 Review

Front

What is the general form of a linear function?

Back

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

Front

How do you determine the slope of a line given two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does it mean for a line to be parallel to another line?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

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 can you write an equation in standard form?

Back

An equation is in standard form Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is a function in mathematical terms?

Back

A function is a relation that assigns exactly one output for each input.

Front

How do you identify if a relation is a function?

Back

A relation is a function if no vertical line intersects the graph of the relation more than once.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you convert a slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get all terms involving x and y on one side.

Front

What is the formula for finding the height of an object in motion given its initial height and rate of ascent?

Back

The height can be modeled by the equation h(t) = initial height + (rate of ascent * time), where h(t) is the height at time t.