Linear Relationships

Front

What is a linear relationship?

Back

Front

What does the slope of a line represent?

Back

The slope of a line 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 one-unit increase in x.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the y-intercept of a linear equation?

Back

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

Front

Write the slope-intercept form of a linear equation.

Back

Front

Back

This equation represents a linear relationship where the slope is -2 and the y-intercept is 4. The line decreases as x increases.

Front

If a line has a slope of 5, what does this mean?

Back

A slope of 5 means that for every 1 unit increase in x, y increases by 5 units.

Front

How do you determine the y-intercept from a table of values?

Back

The y-intercept can be found by identifying the value of y when x is 0 in the table.

Front

Back

This equation represents a situation where a person starts with $800 and loses $30 each month, showing how savings decrease over time.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept, plot it on the graph, and use the slope to find another point. Draw a straight line through these points.