8th Unit 3 Lesson 5: Intro to Linear

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as the ratio of the rise (change in y) over the run (change in x).

Front

How do you identify a proportional relationship on a graph?

Back

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

Front

What is the formula to calculate the cost of fencing based on the number of feet?

Back

The cost can be calculated using the formula: Cost = (Cost per foot) x (Number of feet).

Front

What does a constant rate of change represent in a linear relationship?

Back

A constant rate of change represents the slope of the line, indicating how much the dependent variable changes for a unit change in the independent variable.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the line on the graph.

Front

How can you find the slope from two points on a line?

Back

The slope can be found using the formula: slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per unit, or growth rates, making it essential for understanding relationships in various contexts.

Front

What does it mean if a line has a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship between the two variables.

Front

How do you determine the equation of a line given the slope and y-intercept?

Back

The equation of a line can be determined using the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the relationship between slope and proportionality?

Back

In a proportional relationship, the slope is constant and equal to the ratio of the dependent variable to the independent variable.