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 x and y?

Back

If a line has a slope of 0, it indicates that there is no change in y as x changes. This means that y is constant regardless of the value of x.

Front

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

Back

The formula to find the slope (m) between two points 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 they form a straight line. You can also check if the differences between y-values for equal changes in x-values are constant.

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 18 footballs in one game.

Back

y = 18x