Slope Intercept Word Problems

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

Define slope in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).

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, representing the value of y when x = 0.

Front

Write the equation for a tree that grows 1 inch per month starting at 18 inches tall.

Back

Front

Write the equation for a situation where 20 sandwiches are made and 5 are eaten every hour.

Back

Front

Write the equation for a membership that costs $14 and $2 per event attended.

Back

Front

Write the equation for taking notes where 4 pages are already taken and 3 pages are taken per hour.

Back

Front

Write the equation for a car wash that earns $9 per customer.

Back

Front

What is the meaning of the term 'linear relationship'?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

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

Back

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