Linear Functions Review

Front

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

Back

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

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 does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line descends from left to right.

Front

How can you determine the equation of a line from a graph?

Back

Identify the slope and the y-intercept from the graph, then use the slope-intercept form y = mx + b.

Front

What is the significance of a slope of 1/3?

Back

A slope of 1/3 indicates that for every 3 units moved horizontally to the right, the line moves up 1 unit.

Front

What does it mean if a line has a negative slope?

Back

A negative slope indicates that the line descends from left to right.