Understanding Rates of Change and Slope

What is another term used for 'rates of change' in mathematics?

• Limit

• Integral

• Slope

• Derivative

In the context of college applications, what does a positive slope indicate?

• An increase in the number of applicants

• A constant number of applicants

• No change in the number of applicants

• A decrease in the number of applicants

How do you calculate the slope between two points?

• Subtract the x-coordinates from the y-coordinates

• Divide the change in y by the change in x

• Multiply the x-coordinates and y-coordinates

• Add the x-coordinates and y-coordinates

What is the slope of a line that passes through the points (-2, 4) and (1, -1)?

• 1

• 0

• 3

• -3

What is the y-intercept in the equation y = mx + b?

• y

• x

• b

• m

How do you find the equation of a line in slope-intercept form?

• Solve for m

• Solve for y

• Solve for b

• Solve for x

What is the point-slope form of a line?

• y - y1 = m(x - x1)

• y = x + b

• y = mx + b

• x = my + b

What is the relationship between the slopes of parallel lines?

• They are undefined

• They are zero

• They are negative reciprocals

• They are equal

If a line has a slope of 3, what is the slope of a line perpendicular to it?

• -1/3

• 1/3

• -3

• 3

What is the slope of a line parallel to a line with a slope of -5?

• -5

• 5

• 0

• 1