Linear Relationships Review

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 expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope in a linear equation?

Back

The slope (m) in a linear equation represents the rate of change of y with respect to 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) is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

What is a proportional relationship?

Back

A proportional relationship is a linear relationship that passes through the origin (0,0). In this case, the equation can be written as y = mx, where m is the slope.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a linear relationship that does not pass through the origin. It has a y-intercept (b) that is not zero.

Front

How can you identify a proportional relationship from an equation?

Back

An equation represents a proportional relationship if it can be written in the form y = mx, where there is no constant term added (b=0).

Front

What does the term 'system of equations' mean?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect on a graph.

Front

How do you find the solution to a system of equations graphically?

Back

To find the solution to a system of equations graphically, plot both equations on the same graph and identify the point where they intersect. This point is the solution.

Front

What does it mean if two lines are parallel in a graph?

Back

If two lines are parallel, it means they have the same slope but different y-intercepts. They will never intersect.

Front

What does it mean if two lines intersect at a point?

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If two lines intersect at a point, it means that the point is the solution to the system of equations represented by those lines.