12/17 8.15 & 8.16 Practice Test

Front

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

Back

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

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

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 domain of a function?

Back

The domain is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) that a function can produce.

Front

How can you determine if a point lies on a line represented by an equation?

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.

Front

What does it mean for a function to be linear?

Back

A linear function is one that graphs to a straight line, which means it has a constant slope.

Front

What is the significance of the coefficients in the equation y = mx + b?

Back

The coefficient m represents the slope of the line, while b represents the y-intercept.

Front

How do you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run (change in y over change in x).

Front

What is the equation of a line that passes through the origin with a slope of 4?

Back

The equation is y = 4x.