Slope = Rise over Run

What is the definition of slope?

• Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run).

• Slope is the angle at which a line intersects the x-axis.

• Slope is the distance between two points on a line.

• Slope is the total length of a line segment divided by its height.

If a line falls as it moves from left to right, what can you say about its slope?

• The slope is positive.

• The slope is zero.

• The slope is negative.

• The slope is undefined.

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

• y = mx + b, where m is the slope and b is the y-intercept

• y = ax^2 + bx + c, a quadratic equation

• y = mx + c, where m is the slope and c is the y-intercept

• y = b/x + m, an inverse relationship

What does the y-intercept represent in a linear equation?

• The point where the line crosses the x-axis.

• The point where the line crosses the y-axis.

• The slope of the line.

• The distance from the origin to the line.

What does 'rise' refer to in the context of slope?

• The horizontal change between two points on a line.

• The vertical change between two points on a line.

• The angle of inclination of the line.

• The length of the line segment between two points.

What is the significance of a slope of 1?

• A slope of 1 indicates that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle.

• A slope of 1 means that y is always equal to x.

• A slope of 1 indicates that y decreases as x increases.

• A slope of 1 represents a horizontal line.

What is the relationship between slope and parallel lines?

• Parallel lines have different slopes.

• Parallel lines have the same slope.

• Parallel lines intersect at a right angle.

• Parallel lines have a slope of zero.

What is the slope of a vertical line?

• 0

• 1

• undefined

• infinity

If a line has a slope of 2, what does this mean in terms of rise and run?

• For every 2 units of rise, there is a 1 unit run.

• For every 1 unit of rise, there are 2 units run.

• For every 2 units of rise, there are 3 units run.

• For every 1 unit of rise, there is a 0.5 unit run.

If a line rises 3 units and runs 4 units, what is the slope?

• 1/2

• 3/4

• 2/3

• 4/3