Unit 4: Slope and y-intercept Review

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) over the run (change in x). It is often denoted as 'm' in the equation of a line, y = mx + b.

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 is the value of y when x = 0, and is denoted as 'b' in the equation of a line, y = mx + b.

Front

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

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line is decreasing; for every 2 units it moves to the right, it moves down 2 units.

Front

What is the equation of a line with a slope of 4 and a y-intercept of 1?

Back

The equation of the line is y = 4x + 1.

Front

How can you determine if a relationship is proportional from an equation?

Back

A relationship is proportional if it can be expressed in the form y = kx, where k is a constant and there is no y-intercept (b = 0).

Front

What is the rate of change in the context of a linear function?

Back

The rate of change is another term for the slope of the line, indicating how much y changes for a unit change in x.

Front

If Bryan reads 135 pages in 6 weeks, what is his reading rate per week?

Back

Bryan's reading rate is 22.5 pages per week, calculated as 135 pages / 6 weeks.

Front

What does it mean for a line to be linear?

Back

A linear line is one that can be graphed as a straight line, represented by a linear equation of the form y = mx + b.