Slope and y-intercept from Graphs/Tables

What is the significance of the y-intercept in real-world scenarios?

• It represents the final value of a situation.

• It indicates the rate of change in a situation.

• It can represent the starting value of a situation in real-world contexts, such as initial costs or starting quantities.

• It shows the maximum limit of a situation.

If a line has a slope of 0, what does that mean?

• The line is vertical, indicating that there is no change in x as y changes.

• A slope of 0 means the line is horizontal, indicating that there is no change in y as x changes.

• The line has a positive slope, indicating that y increases as x increases.

• The line has a negative slope, indicating that y decreases as x increases.

If a line has an undefined slope, what does that mean?

• The line is horizontal, indicating that there is no change in y as x changes.

• The line is vertical, indicating that there is no change in x as y changes.

• The line has a positive slope, indicating that y increases as x increases.

• The line has a negative slope, indicating that y decreases as x increases.

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 undefined.

What is the formula for the slope-intercept form of a line?

• y = mx + b

• y = bx + m

• y = mx - b

• y = m + bx

What is the rate of change of the linear data in the table?

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What is the relationship between slope and parallel lines?

• Parallel lines have different slopes, meaning they will intersect at some point.

• Parallel lines have the same slope, meaning they will never intersect and have the same steepness.

• Parallel lines have a slope of zero, making them horizontal.

• Parallel lines have slopes that are negative reciprocals of each other.

How do you find the slope from a table of values?

• Select two points (x1, y1) and (x2, y2) and use the formula m = (y2 - y1) / (x2 - x1).

• Add all the y-values and divide by the number of points.

• Multiply the x-values of two points and subtract the results.

• Find the average of the y-values and use it as the slope.

What is the y-intercept?

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

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

• The slope of the line in the equation y = mx + b.

• The value of y when x is equal to 1.

Find the slope of the line represented by the equation y = 2x + 4.

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