Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

The x-intercept is the point where the line crosses the x-axis. For the equation 3x + 8y = 24, the x-intercept is (8,0).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they represent the same line on a graph, meaning they have the same slope and y-intercept.

Front

Identify the equation that is NOT equivalent to a line with slope 8 passing through (-1, 5).

Back

The equation 8x - y = 13 is NOT equivalent.

Front

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

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b.

Front

What is the difference between a slope of 8 and a slope of 1/4?

Back

A slope of 8 indicates a steep line, while a slope of 1/4 indicates a gentle incline.

Front

How can you represent a linear function using points?

Back

A linear function can be represented by any two points on the line, such as {(-5,2), (3,4)}.

Front

What does the term 'rise' refer to in slope calculations?

Back

'Rise' refers to the vertical change between two points on a line.