Slope/Similar Triangles & Proportional Relationships

Front

What is the definition of a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant. It can be expressed in the form y = kx, where k is the constant of proportionality.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Front

What is the slope of a line, and how is it calculated?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the significance of the slope in similar triangles?

Back

In similar triangles, the corresponding sides are in proportion, which means the slopes of the corresponding sides are equal.

Front

What does a non-proportional relationship look like on a graph?

Back

A non-proportional relationship is represented by a straight line that does not pass through the origin, indicating a non-zero y-intercept.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = mx + b?

Back

In the equation y = mx + b, the slope is represented by the coefficient m.

Front

What is the relationship between the slopes of two similar triangles?

Back

The slopes of corresponding sides of two similar triangles are equal.

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the ratio of y to x in a proportional relationship, indicating how much y changes for a unit change in x.