Multiple Representations

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept (b) is the value of y when x = 0; it is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the change in x is zero, making the slope calculation impossible.

Tags

CCSS.8.EE.B.5

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the difference between a positive and negative slope?

Back

A positive slope rises from left to right, while a negative slope falls from left to right.

Tags

CCSS.8.EE.B.5

Front

How can you determine if a line is increasing or decreasing?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.

Tags

CCSS.8.EE.B.5

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What is the formula for calculating the total cost with a delivery fee?

Back

Total Cost = Delivery Fee + (Cost per Person × Number of People).