D78 Activity: Review for Chunk 6

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

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

Back

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

Front

What is the slope of a line that rises 5 units for every 2 units it runs?

Back

The slope is 5/2.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line descends from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Given the points (0, -4) and a slope of 5/2, what is the equation of the line in slope-intercept form?

Back

y = (5/2)x - 4.

Front

What does the point (0, 1) represent in a graph?

Back

The point (0, 1) represents the y-intercept of the line, where the line crosses the y-axis.

Front

If a line passes through the point (-2, 4) and has a slope of -3, what is the equation of the line?

Back

y = -3x - 2.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2.