Unit 2B Fix It

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable. For example, in a cost function, it indicates how much the cost increases for each additional unit.

Front

How do you identify the y-intercept from a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y). It indicates the value of the dependent variable when the independent variable is zero.

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 can you find the slope from two points on a line?

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 a positive slope indicate about a line?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases, resulting in a downward slant of the line.

Front

How do you convert a point-slope equation to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y to isolate it on one side.

Front

What is the significance of the coordinates in the point (x, y)?

Back

In the context of a graph, x represents the independent variable, and y represents the dependent variable. The point (x, y) indicates a specific location on the graph.

Front

How do you determine the equation of a line given a slope and a point?

Back

Use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Front

What is the relationship between slope and parallel lines?

Back

Parallel lines have the same slope. If two lines have equal slopes, they will never intersect.