NC Math 1 EOC Review #2

What does it mean for two lines to be perpendicular?

• Two lines are perpendicular if they are parallel to each other.

• Two lines are perpendicular if they intersect at an acute angle.

• Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.

• Two lines are perpendicular if they have the same slope.

What does it mean for two lines to be parallel?

• They intersect at a right angle.

• They have different slopes and will meet at some point.

• They have the same slope and will never intersect.

• They are always horizontal lines.

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

• @@m = rac{y_2 - y_1}{x_2 - x_1}@@

• @@m = rac{y_1 - y_2}{x_1 - x_2}@@

• @@m = y_2 - y_1@@

• @@m = x_2 - x_1@@

What does the slope of a line represent?

• The slope represents the rate of change of @@y@@ with respect to @@x@@, indicating how steep the line is.

• The slope indicates the y-intercept of the line.

• The slope represents the distance between two points on the line.

• The slope shows the direction of the line, whether it is increasing or decreasing.

What is the relationship between the slopes of parallel and perpendicular lines?

• Parallel lines have different slopes, while perpendicular lines have equal slopes.

• Parallel lines have equal slopes, while perpendicular lines have slopes that are negative reciprocals of each other.

• Parallel lines have slopes that are negative reciprocals, while perpendicular lines have equal slopes.

• Parallel lines have slopes that are always positive, while perpendicular lines have slopes that are always negative.

What is the y-intercept of a line?

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

• The point where the line crosses the y-axis, represented by the value of @@b@@ in the Slope-Intercept Form.

• The slope of the line in the equation.

• The distance from the origin to the line.

What is the significance of the coordinates in a linear equation?

• Coordinates represent points on the graph, where the first value is the x-coordinate and the second value is the y-coordinate.

• Coordinates are used to determine the slope of the line only.

• Coordinates indicate the direction of the line in a linear equation.

• Coordinates are irrelevant in the context of linear equations.

What is the process for finding the equation of a line that is perpendicular to a given line?

• Take the same slope as the given line and use the point it passes through to write the equation.

• Take the negative reciprocal of the slope of the given line and use the point it passes through to write the equation.

• Use the slope-intercept form of the given line to find the perpendicular line.

• Find the midpoint of the given line and use it to determine the perpendicular line.

How do you determine if a point lies on a line given its equation?

• Substitute the x-coordinate of the point into the equation and see if the resulting y-value matches the y-coordinate of the point.

• Check if the point is within the bounds of the line segment.

• Calculate the distance from the point to the line and see if it is zero.

• Find the slope of the line and compare it to the slope of the line formed by the point and another point on the line.

How do you convert an equation to Slope-Intercept Form?

• Isolate @@y@@ on one side of the equation.

• Multiply both sides by a constant.

• Add a constant to both sides of the equation.

• Factor the equation completely.