Slope Intercept Form - Multiple Representations

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where m is the slope, and (x1, y1) and (x2, y2) are two points on a line.

Front

Write the equation that represents this word problem: Nora owes her parents $400 for a computer, so she babysits for $10 per hour.

Back

y = 10x - 400, where y is the amount owed and x is the number of hours babysat.

Front

Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

Back

y = 40x + 150, where y is the total amount in the account after x months.

Front

Write the equation that represents this table: (Assuming a linear relationship with given points).

Back

y = 2x + 10, where y is the dependent variable and x is the independent variable.

Front

What is the correct slope-intercept form?

Back

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

Front

What does 'm' represent in the slope-intercept form?

Back

'm' represents the slope of the line, indicating how steep the line is.

Front

What does 'b' represent in the slope-intercept form?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you find the slope from two points?

Back

Use the formula m = (y2 - y1) / (x2 - x1) to calculate the slope.

Front

If a line has a slope of 0, what does that indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

If a line has an undefined slope, what does that indicate?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.