7th ACA Test 3-2 Review: Linear Relationships

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. It can be described by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope in a linear equation represent?

Back

The slope (m) in a linear equation 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

What is the y-intercept in a linear equation?

Back

The y-intercept (b) in a linear equation is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

Write the equation of a line with a slope of 3 and a y-intercept of 2.

Back

y = 3x + 2

Front

If a line has a slope of 0, what does that indicate about the relationship between the variables?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the dependent variable (y) as the independent variable (x) changes. This represents a constant value.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

How can you determine if a relationship is linear from a set of data points?

Back

A relationship is linear if the data points can be plotted on a graph and form a straight line. You can also check if the change in y is consistent for equal changes in x.

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts. This means they will never intersect.

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means they intersect at a right angle.

Front

Write an equation that represents the total number of footballs intercepted by Diego in x days if he intercepts 25 footballs per day.

Back

y = 25x