Slope of line from a graph

What does a positive slope indicate about a line?

• A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

• A positive slope indicates that as x increases, y decreases, meaning the line falls from left to right.

• A positive slope indicates that y remains constant as x increases, meaning the line is horizontal.

• A positive slope indicates that as x increases, y first increases and then decreases, meaning the line has a peak.

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

• m = (y2 - y1) / (x2 - x1)

• m = (x2 - x1) / (y2 - y1)

• m = (y1 + y2) / (x1 + x2)

• m = (y2 + y1) / (x2 - x1)

What is the slope of a vertical line?

• 0

• 1

• Undefined

• Infinity

How can you determine the slope from a graph?

• Select two points on the line, calculate the rise and run, and divide rise by run.

• Measure the length of the line and divide by the total distance on the graph.

• Count the number of grid squares the line crosses vertically and horizontally.

• Draw a tangent line and measure its angle with the horizontal.

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

• 1

• 2

• 3

• 4

What is the slope of the line represented by the equation y = 2x + 3?

• 1

• 2

• 3

• 4

What does the term 'rise' refer to in slope calculations?

• 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.

If a line has a slope of 1, what does this mean?

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

• A slope of 1 indicates that y decreases by the same amount for every unit increase in x.

• A slope of 1 means that the line is vertical and does not change in y as x increases.

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

What is the slope-intercept form of a line?

• y = mx + b

• y = bx + m

• y = mx - b

• y = m + bx

What does a negative slope indicate about a line?

• A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

• A negative slope indicates that as x increases, y increases, meaning the line rises from left to right.

• A negative slope indicates that the line is horizontal and does not change.

• A negative slope indicates that the line is vertical and does not change.