3b Review - Higgins

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). A positive slope indicates the line rises from left to right, while a negative slope indicates it falls.

Front

What is a scale factor in similar triangles?

Back

A scale factor is a number that scales, or multiplies, some quantity. In similar triangles, it is the ratio of the lengths of corresponding sides.

Front

How do you find the area of a rectangle?

Back

The area of a rectangle is found by multiplying its length by its width (Area = Length × Width).

Front

What is the relationship between the areas of similar rectangles?

Back

The ratio of the areas of two similar rectangles is equal to the square of the ratio of their corresponding side lengths.

Front

What is the formula for 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 calculate the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in x as y changes.

Front

If a triangle has a scale factor of 1.5, how does this affect its area?

Back

If the scale factor is 1.5, the area of the triangle will increase by a factor of 1.5² = 2.25.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.