Linear Relationships part 1

Front

What is the slope of the line represented by the equation y = 3/2x + 3?

Back

The slope is 3/2.

Front

What is the y-intercept of the line represented by the equation y = 3/2x + 3?

Back

The y-intercept is (0, 3).

Front

What does it mean for a graph to show a proportional relationship?

Back

A graph shows a proportional relationship if it is linear and passes through the origin.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes.

Front

How do you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is horizontal.

Front

How do you find the slope from a graph?

Back

Pick two points on the graph and use the formula (y2 - y1) / (x2 - x1).

Front

What is the definition of a linear relationship?

Back

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

Front

What is the formula for slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a line does not go through the origin?

Back

If a line does not go through the origin, it indicates that the relationship is not proportional.

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, indicating the value of y when x = 0.