8th Unit 3 Lesson 5: Intro to Linear

Front

What is the definition of slope in a linear relationship?

Back

The slope is a measure of the steepness of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a slope of 2/3 indicate about a line?

Back

It indicates that for every 3 units moved horizontally to the right, the line moves up 2 units.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

What is the starting value in a linear equation?

Back

The starting value is the y-intercept, which is the value of y when x is 0.

Front

If a car repair company charges a $15 fee plus $75 per hour, what is the total cost for 2 hours of service?

Back

Total cost = $15 + (2 hours * $75/hour) = $165.

Front

What is the formula for the cost of installing fencing per linear foot if the total cost is $450 for 30 feet?

Back

Cost per foot = Total cost / Total feet = $450 / 30 = $15 per foot.

Front

What does a constant rate of change mean in a linear function?

Back

It means that the change in the dependent variable (y) is consistent for each unit change in the independent variable (x).

Front

How can you identify a linear equation from a table of values?

Back

If the differences between consecutive y-values are constant for equal differences in x-values, the relationship is linear.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.