Function Word Problems

Front

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

Back

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Front

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

Back

Front

What is the y-intercept of a line?

Back

Front

What is the equation of a line with a slope of -1 and a y-intercept of 2?

Back

Front

If a line has a slope of 2 and passes through the point (1, 3), what is its equation?

Back

Front

What is the relationship between the slope and the steepness of a line?

Back

A larger absolute value of the slope indicates a steeper line. A positive slope rises to the right, while a negative slope falls to the right.

Front

How can you determine the equation of a line from a table of values?

Back

Front

What does the term 'rise over run' refer to in the context of slope?

Back

'Rise over run' refers to the change in y (rise) divided by the change in x (run) between two points on a line.

Front

What is the equation of a line that has a slope of 5/2 and a y-intercept of -2?

Back