Linear Relationships

What does a slope of 0 indicate about a line?

• The line is vertical, indicating an undefined slope.

• The line is horizontal, meaning there is no change in the y-value as x changes.

• The line has a positive slope, indicating it rises as it moves from left to right.

• The line has a negative slope, indicating it falls as it moves from left to right.

How can you determine if a relationship is linear from a set of data points?

• A relationship is linear if the data points can be plotted on a graph and form a straight line.

• A relationship is linear if the data points are all positive.

• A relationship is linear if the data points are evenly spaced.

• A relationship is linear if the data points have a constant average.

If Taylor swims 210 meters in 3 minutes, what is the slope of the line when minutes are on the x-axis and meters on the y-axis?

• 50 meters/minute

• 60 meters/minute

• 70 meters/minute

• 80 meters/minute

If a car travels 104 miles on 4 gallons of gas, what is the rate of change (m)?

• 20 miles/gallon

• 24 miles/gallon

• 26 miles/gallon

• 30 miles/gallon

What is the equation of a line with a slope of 3 and a y-intercept of 2?

• y = 3x + 2

• y = 2x + 3

• y = 3x - 2

• y = 2x - 3

How do you identify the slope from a graph?

• Select two points on the line and use the formula m = rise/run.

• Identify the y-intercept of the line.

• Calculate the area under the curve.

• Determine the length of the line segment.

What is the initial value when the equation is y = 4x + 5?

• 3

• 5

• 7

• 10

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

• y = mx + b

• y = bx + m

• y = mx - b

• y = m + bx

If a line has a negative slope, what does that indicate?

• A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

• A negative slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

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

• A negative slope indicates that the line is vertical and cannot be defined.

What does the slope of a line represent?

• The slope indicates the angle of the line with respect to the x-axis.

• The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

• The slope is the length of the line segment between two points.

• The slope shows the total distance covered by the line.