Linear Relationships

Front

What is the slope of a line?

Back

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

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

What ordered pair represents the origin on a graph?

Back

(0, 0) is the origin on a graph.

Front

If a line has a slope of 2, what does this mean?

Back

For every 1 unit increase in x, y increases by 2 units.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio.

Front

Write the equation for Sally's earnings if she earns $30 for every 5 hours babysitting.

Back

y = 6x, where y is the total earnings and x is the number of hours.

Front

What is the slope of the line that passes through the points (1, -19) and (-2, -7)?

Back

The slope is -4.

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.