Topic 2-Slope/word problems formative check

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend on a graph.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend on a graph.

Front

What does a zero slope indicate?

Back

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

Front

What does an undefined slope indicate?

Back

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

Front

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

Back

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

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the equation y = mx + b.

Front

How do you write the equation of a line given a slope and a y-intercept?

Back

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

Front

What is the equation representing the cost of tacos (x) and enchiladas (y) if Sam's bill is $10.80?

Back

The equation is 4x + 5y = 10.80.

Front

What is the equation representing the sales of small (x) and large (y) t-shirts if the total sales are $708?

Back

The equation is 12x + 14y = 708.