Proportions to Linear Relationships

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you convert a scale model measurement to actual size?

Back

Multiply the model measurement by the scale factor.

Front

What does 'm' represent in the equation y = mx + b?

Back

The slope of the line.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b.

Front

If a garden is drawn to a scale of 1 cm = 2 m, how long is a 10 m garden in the drawing?

Back

5 cm.

Front

What is the relationship between slope and steepness of a line?

Back

A larger slope value indicates a steeper line.

Front

How do you identify the slope and y-intercept from the equation y = 4x + 2?

Back

Slope: 4, y-intercept: (0, 2).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.