Rylan Catchup Plan

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

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

Back

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

Front

If a line has a slope of 10, what does this indicate about the relationship between x and y?

Back

A slope of 10 indicates that for every 1 unit increase in x, y increases by 10 units.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What is the constant of proportionality in a linear equation?

Back

The constant of proportionality is the slope of the line in a proportional relationship, representing the ratio of y to x.

Front

How do you interpret the slope of -1/2?

Back

A slope of -1/2 indicates that for every 2 units increase in x, y decreases by 1 unit.

Front

What is the formula for finding the slope between two points?

Back

The formula for finding the slope (m) between two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1).